12 : □ = □ : 4 = 8 : 16

12 : `square` = `square` : 4 = 8 : 16

Fill in the Blanks

12 : 24 = 2 : 4 = 8 : 16

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Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (iv) | Page 58

Using the properties of proportion, solve for x, given `(x^4 + 1)/(2x^2) = 17/8`.

6 is the mean proportion between two numbers x and y and 48 is the third proportional of x and y. Find the numbers.

Using properties of proportion, solve for x:

`(sqrt(x + 1) + sqrt(x - 1))/(sqrt(x + 1) - sqrt(x - 1)) = (4x - 1)/2`

Find the third proportion to the following :

(x - y) and m (x - y)

Determine if the following numbers are in proportion:

4, 6, 8, 12

If 15 tins of the same size contain 234 kg of oil, how much oil will there be in 10 such tins?

If a, b, c, d are in continued proportion, prove that: `(a^3 + b^3 + c^3)/(b^3 + c^3 + d^3) = a/d`

If (a + 2 b + c), (a – c) and (a – 2 b + c) are in continued proportion, prove that b is the mean proportional between a and c.

Write True (T) or False (F) against the following statement:

0.9 : 0.36 : : 10 : 4

If `(a + b)^3/(a - b)^3 = 64/27`