How is it that the quotitient of two rationals is a common divisor for both?

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When $2$ number's ratio can not be expressed as a rational number then we call these number incommensurable.
But I also read that incommensurable also has the meaning of being able to measure two numbers by the same standard.
For example we have $$\frac{3}{4}= 0.75 \implies 3 = 0.75 \cdot 4 \\\And\\ 4=\frac{16}{3}\cdot 0.75 $$ So they are both multiple of $0.75$

But what is the principle that this is based on?