Question

Find the value of $x$:

$x:48::23:12$

Answer 1

Given

$x:48::23:12$

First and last term is called extreme terms, that is $x$ and $12$ and $48$ and $23$ is called middle terms.

product of extreme terms = product of middle terms

$$\begin{gathered} x\times 12=48\times 23 \\ x=\frac{48\times 23}{12} \end{gathered}$$

$x=\frac{23\times {\displaystyle \stackrel{4}{\cancel{48}}}}{{\displaystyle \underset{1}{\cancel{12}}}}$

$$\begin{gathered} x=23\times 4 \\ \therefore x=92 \end{gathered}$$

Hence the value of $x$ is $92.$