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X, 8, 16 are in continued proportion. The value of x is ______. - Mathematics

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Question

x, 8, 16 are in continued proportion. The value of x is ______.

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Solution

x, 8, 16 are in continued proportion. The value of x is 4.

Explanation:

x, 8, 16 are in continued proportion

∴ `x/8 = 8/16`

⇒ x × 16 = 8 × 8

⇒ 16x = 64

⇒ x = `64/16`

⇒ x = 4

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Chapter 7: Ratio and proportion - Exercise 7D [Page 140]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and proportion
Exercise 7D | Q 1. | Page 140
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