Question

Determine if the given numbers from the following are in proportion.
33, 121, 9, 96.

Answer 1

Hint – In order to find if the numbers are in proportion, we divide a number with its succeeding number and find its ratio. We repeat the same process for the others and compare their ratio, if they are equal the numbers are said to be in proportion.

Complete step-by-step answer::
Given numbers,
33, 121, 9, 96
Now,
$\dfrac{{33}}{{121}} = \dfrac{3}{{11}}$
And,
$\dfrac{9}{{96}} = \dfrac{3}{{32}}$
Let us compare their ratio,
$\dfrac{3}{{11}} \ne \dfrac{3}{{32}}$
Hence the given numbers are not in proportion with each other.

Note – In order to solve questions of this type the key is to know the definition of proportionality. Proportion is the fact of a variable quantity having a constant ratio to another quantity. We can check this rule in any order using the given numbers, it still gives us that they are not in proportion.