Question

find fourth proportional to 6,8,10

Answer 1

Find the fourth proportion to6,8,10,12

Answer 2

SOLUTION

TO DETERMINE

The fourth proportional of 6 , 8 , 10

EVALUATION

Let x be the fourth proportion

Then 6 , 8 , 10 , x are in proportion

So

$\displaystyle \sf{ 6: 8 = 10 : x}$

$\implies \displaystyle \sf{ \frac{6}{8} = \frac{10}{x} }$

$\implies \displaystyle \sf{ 6x = 80}$

$\implies \displaystyle \sf{ x = \frac{80}{6} }$

$\implies \displaystyle \sf{ x = \frac{40}{3} }$

FINAL ANSWER

The fourth proportional of 6, 8, 10 is

$\displaystyle \sf{ = \frac{40}{3} }$

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