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The phrase "approaching a value of" is correct and usable in written English.
It can be used in contexts where you are discussing numerical values that are getting closer to a specific target or limit.
Example: "As the experiment progressed, the temperature was approaching a value of 100 degrees Celsius."
Alternatives: "tending towards a value of" or "nearing a value of".
Exact(7)
For the year, the dollar is now down 8.1percentt against the euro, which is approaching a value of $1.1667, which was the price of the euro when it became the currency of 11 European countries on Jan . 1 , 1998
Release studies using Congo red as a model drug from microspheres prepared from these polyesters showed linear release profiles with correlation constants of least-square fits approaching a value of unity.
Scores between observers were highly correlated with Cronbach's alpha measure of internal consistency approaching a value of 1 (Table 5).
When the data describe a straight line of slope approaching a value of −1, m is estimated graphically as the intercept of this curve.
Moreover, the slope estimates for the attend axis condition show a near-perfect scaling across eccentricities along the vertical meridian, with slopes approaching a value of 1 (lower axis = 0.994, upper axis = 1.001).
The normalized splay-to-splay distance provides information about the molecule's tendency to bend in this region; rigid (or elongated) molecules have a longer splay-to-splay distance (approaching a value of 1) than bent molecules.
Similar(53)
After CB reaches its maximum value, α approaches a value of 1.
The mean activity coefficient γ± is so defined that it approaches a value of unity at very low molality where the ions are so far apart that they exert negligible influence on one another.
The linear mass density of the growing fibers approached a value of two monomers per nm corresponding to single stranded fibers, which is in accordance with presently existing models for the aggregation of β-amyloid.
The AUC approaches a value of 0.55, which implies that hardly any separation between voiced speech and noise is possible based on this feature.
It is apparent that the overall process approaches a value of 0.2 to 0.25 Hmol/Hmol, when the biomass concentration is below 10 g/L, and the product concentration moves towards 100 g/L (Figure 1).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com