Use a known quotient to find a related one via scaling: Given 12276 ÷ 155 = 79.2, compute 122.76 ÷ 15.5 by relating both numerators and denominators to the known ratio.

Introduction / Context:When a quotient is already known, you can use proportional scaling to obtain another quotient rapidly. This avoids long division and leverages place-value reasoning with decimals—an essential skill in aptitude tests and quick calculations.

Given Data / Assumptions:

• Known: 12276 ÷ 155 = 79.2.
• Find: 122.76 ÷ 15.5.

Concept / Approach:Notice that 122.76 is 1/100 of 12276, and 15.5 is 1/10 of 155. Therefore, 122.76 ÷ 15.5 equals (12276/100) ÷ (155/10) = (12276 ÷ 155) × (10/100) = (12276 ÷ 155) × 0.1. This scaling logic preserves the ratio structure exactly.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 79.2 and 79.02: Fail to apply the 0.1 scaling factor correctly.
• 7.092: Incorrect adjustment of decimal places leads to an off-by-scale result.

Common Pitfalls:

• Mismatching the scaling of numerator and denominator.
• Dropping or adding extra zeros during decimal shifts.

Final Answer: