Question

Find the value of $x$ in each of the following proportions:

$45:x::25:35$

Answer 1

If , $a,b,c,d$ are in proportion then,

$$\begin{gathered} \frac{a}{b}=\frac{c}{d} \\ =>a\times d=c\times b \end{gathered}$$

Substituting the value as$45,x,25,35$

$$\begin{gathered} =>\frac{45}{x}=\frac{25}{35} \\ =>45\times 35=25\times x \\ =>\frac{45\times 35}{25}=x \\ =>x=63 \end{gathered}$$

Hence the value of $x$ is $63$.