Question

Fill in the following boxes so that the four numbers are in proportion.
(a) 32, I, 6, 12
(b) 21, 27, 14,
(c) 15, , 27, 36
(d) 33, 132, |, 16​

Answer 1

Answer:

(a) 64

(b) 18

(c) 20

(d) 4

Step-by-step explanation:

(a) 32, ___, 6, 12

Let the number be x

then 32 : x : : 6 : 12

or 32/x = 6/12

⇒ x = 32 × 12/6 = 32 × 2 = 64

(b) 21, 27, 14, ___

Let the number be x

then 21 : 27 : : 14 : x

or 21/27 = 14/x

⇒ x = 14 × 27/21 = 9 × 2 = 18

(c) 15, ___, 27, 36

Let the number be x

then 15 : x : : 27 : 36

or 15/x = 27/36

⇒ x = 36 × 15/27 = 4 × 5 = 20

(d) 33, 132, ___, 16

Let the number be x

then 33 : 132 : : x : 16

or 33/132 = x/16

⇒ 33 × 16/132 = 4

Answer 2

Answer:a)64

b) 18

c)20

d)4

Step-by-step explanation: