Question

Check whether the given terms $18,9,10,5$ are in proportion.

Answer 1

Four quantities $a,b,c$ and $d$ are said to be in proportion if $a:b=c:d$

Or ln lowest term $\frac{a}{b}=\frac{c}{d}$

Here given quantities are $18,9,10,5$

$18:9=10:5$

$18:9=\frac{18}{9}=\frac{2}{1}$ ( Divide both terms by their HCF $9$)

And, $10:5=\frac{10}{5}=\frac{2}{1}$ ( Divide both term by their HCF $5$)

Since, ratio of first two term equals to the ratio of last two terms.

Hence, given terms $18,9,10,5$ are in proportion.