if the given ratios are in proportion (a) 15:45 and 40:120
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Answer:
Complete the numericals given below
Step-by-step explanation:
Determine if the following are in proportion.
(a) 15, 45, 40, 120
(b) 33, 121, 9, 96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100
Solution:
We will use the concept of proportion to solve this.
(a) 15, 45, 40, 120
⇒ 15 / 45 = 1 / 3 = 1:3
⇒ 40 / 120 = 1 / 3 = 1:3
Hence, 15:45 = 40:120
Therefore 15, 45, 40, 120 are in proportion.
(b) 33, 121, 9, 96
⇒ 33 / 121 = 3 / 11 = 3:11
⇒ 9 / 96 = 3 / 32 = 3:32
Hence, 33:121 ≠ 9:96
Therefore 33, 121, 9, 96 are not in proportion.
(c) 24, 28, 36, 48
⇒ 24 / 28 = 6 / 7 = 6:7
⇒ 36 / 48 = 3 / 4 = 3:4
Hence, 24:28 ≠ 36:48
Therefore 24, 28, 36, 48 are not in proportion.
(d) 32, 48, 70, 210
⇒ 32 / 48 = 2 / 3 = 2:3
⇒ 70 / 210 = 1 / 3 = 1:3
Hence, 32:48 ≠ 70:210
Therefore 32, 48, 70, 210 are not in proportion.
(e) 4, 6, 8, 12
⇒ 4 / 6 = 2 / 3 = 2:3
⇒ 8 / 12 = 2 / 3 = 2:3
Hence 4:6 = 8:12
Therefore 4, 6, 8, 12 are in proportion.
(f) 33, 44, 75, 100
⇒ 33 / 44 = 3 / 4 = 3:4
⇒ 75 / 100 = 3 / 4 = 3:4
Hence, 33:44 = 75:100
Therefore 33, 44, 75, 100