Explanation:

Let's determine the next number in the series 30, 39, 55, 76, and find the correct option.

- We begin by observing the differences between consecutive numbers:

- 39 - 30 = 9

- 55 - 39 = 16

- 76 - 55 = 21

- Continuing the pattern, the differences follow a consistent pattern:

- The differences themselves increase incrementally by 7:

- 9 (from 30 to 39)

- 16 (from 39 to 55 is 9 + 7)

- 21 (from 55 to 76 is 16 + 5)

- The next increment should be 26, derived by adding 5 to previous difference 26 (21 + 5).

- Hence, the next number in the sequence is:

- 76 + 26 = 102

- So, the options provided did not calculate the correct sequence correctly.

Therefore, the correct option with current options isn't listed.