Question

10:15=120:X what is X ?
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Answer 1

10:15::120:180

because 10*12=120

15*12=180

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Answer 2

$\sf{10 : 15 = 120 : X}$

$\sf{In \ another \ form,}$

$\sf{\Rightarrow \ {\dfrac{10}{15}} = {\dfrac{120}{X}} }$

$\sf{Transposing}$

$\sf{\Rightarrow \ X = {\dfrac{120 * 15}{10}} }$

$\sf{\Rightarrow \ X = 180}$

$\sf\red{The \ value \ of \ X \ is \ 180.}$