Rational Number Between 9.2 and 10.5

The question asks to identify a rational number that falls within the range defined by $9.2$ and $10.5$. This means the number must be greater than $9.2$ and less than $10.5$. Mathematically, we are looking for a number $x$ such that:

$9.2 < x < 10.5$

We will examine each option provided to see which one satisfies this condition.

Option Analysis

• Option 1: $10.67$
  • Check: Is $9.2 < 10.67 < 10.5$?
  • Result: No, because $10.67$ is greater than $10.5$.
• Option 2: $9.08$
  • Check: Is $9.2 < 9.08 < 10.5$?
  • Result: No, because $9.08$ is less than $9.2$.
• Option 3: $9.15$
  • Check: Is $9.2 < 9.15 < 10.5$?
  • Result: No, because $9.15$ is less than $9.2$.
• Option 4: $9.55$
  • Check: Is $9.2 < 9.55 < 10.5$?
  • Result: Yes, because $9.55$ is greater than $9.2$ and less than $10.5$.

Conclusion

Based on the analysis, the number $9.55$ is the only option that lies strictly between $9.2$ and $10.5$.