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The phrase "about a fourth of" is correct and usable in written English.
It can be used when estimating a fraction or portion of a whole, typically in contexts involving measurements, statistics, or comparisons.
Example: "About a fourth of the participants in the study reported feeling more energized after the intervention."
Alternatives: "approximately one-fourth of" or "roughly a quarter of".
Exact(60)
In 2008, about a fourth of all voters were contacted in some way by the Obama campaign.
It replaces about a fourth of them in 2015.
The researchers could obtain demographic information on only about a fourth of the suicide attacks.
REPORTER AT LARGE about a Fourth of July Rally at Tammany Hall.
About a fourth of the money has been used to repair and replace public buildings.
About a fourth of the city's residents are black, according to 2006 data.
They now average 15percentt, about a fourth of their peak level in the 1980's.
About a fourth of National Grid's profit came from running and managing Britain's electricity distribution system.
Of that, the increase for China was $327 billion, about a fourth of the foreign total.
They should be spaced about a fourth of an inch apart.
About a fourth of you will be passive indexed investors, while the rest will be active investors.
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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