To complete the inequality \(1.01 < \text{blank} < 1.17 < 1.20\), we should find the number that fits in between \(1.01\) and \(1.17\) without exceeding \(1.17\).
Let's evaluate the options:
- 1.008: This number is less than \(1.01\), so it does not fit in the inequality.
- 1.08: This number is greater than \(1.01\) and less than \(1.17\). It fits the inequality.
- 1.18: This is greater than \(1.17\), so it does not fit in the inequality.
- 1.8: This is also greater than \(1.20\), so it does not fit in the inequality.
The only number that completes the inequality is:
1.08.