Math, asked by ramya7862, 10 months ago

The first ,second and fourth terms of a propotion are 16,24,54 respectively .The third term is​

Answers

Answered by BrainlyPopularman
46

Answer:

it's an G.P. which common ratio is 3/2.

so third term is = 24 × (3/2)

= 36

Answered by smithasijotsl
1

Answer:

The third term  of the proportion = 36

Step-by-step explanation:

Given,

The first, second, and fourth terms of a proportion are 16,24, and 54 respectively

To find,

The Third term

Recall the concepts

If four numbers are in proportion, then we have

Product of the middle terms = Product of extreme terms

Solution:

Let the third term be 'x'

Then we have, 16,24,x,54 in proportion

The middle terms are 24 and x

The extreme terms are 16 and 54

Since, the product of the middle terms = product of extreme terms

24x = 16× 54

x = \frac{16X54}{24}

= \frac{864}{24}

x = 36

The third term  of the proportion = 36

#SPJ2

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