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The phrase "alter at the same rate" is correct and usable in written English.
It can be used when discussing changes or modifications that occur simultaneously or proportionally in relation to one another.
Example: "If both variables alter at the same rate, the overall outcome will remain consistent."
Alternatives: "change at an equal pace" or "adjust at the same speed".
Exact(1)
As she pointed out in a letter, we change every pore of our skin every seven years, so our thoughts and feelings surely alter at the same rate.
Similar(59)
Goddard's group found that both the altered and unaltered yeast grew at the same rate under non-stressful conditions.
And though they're excelling, struggling and failing at the same rate as their American counterparts, some professors say they have had to alter how they teach".
And though they're excelling, struggling and failing at the same rate as their American counterparts, some professors say they have had to alter how they teach". For the moment, the relationship remains a net positive for both sides, but the honeymoon is ending.
Not all at the same rate.
Not all loops may warm up at the same rate.
Copies are charged at the same rate as printing.
"The reserve chute fails at the same rate.
Both are decreasing at the same rate, Dr. Hardy said.
Um, at the same rate as our sugar consumption.
Not all executives are taking profits at the same rate.
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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