Explanation:

Alright, let’s break down the pattern first:

- The given set is 56 : 90 : 132

- 90 - 56 = 34

- 132 - 90 = 42

- The difference isn’t consistent, so let’s try dividing:

- 56/90/132… all are even numbers, and actually, if you look:

- 56 = 7 x 8

- 90 = 9 x 10

- 132 = 11 x 12

- So there’s a pattern—consecutive even products, skipping one in between:

- 7 x 8, 9 x 10, 11 x 12

Now, check the options:

- Option 1 — 89 : 110 : 131

- 89 isn’t a product of consecutive numbers. 89 is prime. Doesn't fit.

- Option 2 — 76 : 95 : 116

- 76 = 4 x 19? 2 x 38? Doesn’t match a consecutive pair.

- Option 3 — 88 : 102 : 120

- 88 = 8 x 11

- 102 = 6 x 17 or 34 x 3

- 120 = 10 x 12

- But these don’t line up with the same “(odd)x(even), skipping an increment by 2 each time” pattern.

- Option 4 — 72 : 110 : 156

- 72 = 8 x 9

- 110 = 10 x 11

- 156 = 12 x 13

- There you go! That’s the same pattern—products of consecutive numbers, skipping by two each time:

- 8 x 9, 10 x 11, 12 x 13

So, if you picked option 4, here’s the real talk:

Option 4 is correct.

-

- It follows the same logic: multiplying consecutive numbers, with a steady increment to each term.

- The other options either use numbers that aren’t consecutive products or don’t match the set pattern at all.

Short version—option 4 keeps the pattern tight. Nice choice.