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Finding the Fourth Proportional to 91.72, 126.48 and 76.96

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Solution

The fourth proportional to 91.72, 126.48 and 76.96 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.72 : 126.48 = 76.96 : x
  2. Step 2: Convert to fraction form
    91.72/126.48 = 76.96/x
  3. Step 3: Cross multiply
    91.72x = 126.48 × 76.96
  4. Step 4: Simplify right side
    91.72x = 9,733.90
  5. Step 5: Solve for x
    x = 9,733.90/91.72
  6. Step 6: Final answer
    x = 106.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.