Question

36:18::46:x
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Answer 1

Given data:

The proportionality 36 : 18 :: 46 : x

To find:

The value of x

Step-by-step explanation:

• We must remember that the proportionality a : b :: c : d expresses a : b = c : d, that is $\dfrac{a}{b}=\dfrac{c}{d}$.

Given, 36 : 18 :: 46 : x

⇒ 36 : 18 = 46 : x

⇒ $\dfrac{36}{18}=\dfrac{46}{x}$

⇒ 2 = $\dfrac{46}{x}$

⇒ x = $\dfrac{46}{2}$

⇒ x = 23

Final Answer:

The value of x is 23.

NOTE:

Here, 36 : 18 = 2 : 1 and we must obtain the same simplified form for 46 : x.

This is possible when x is half of 46.

That is, x = $\dfrac{46}{2}$

That is, x = 23.