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Finding the Fourth Proportional to 91.68, 126.30 and 81.24

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Solution

The fourth proportional to 91.68, 126.30 and 81.24 is: 111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.68 : 126.30 = 81.24 : x
  2. Step 2: Convert to fraction form
    91.68/126.30 = 81.24/x
  3. Step 3: Cross multiply
    91.68x = 126.30 × 81.24
  4. Step 4: Simplify right side
    91.68x = 10,260.61
  5. Step 5: Solve for x
    x = 10,260.61/91.68
  6. Step 6: Final answer
    x = 111.92

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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.