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Finding the Fourth Proportional to 71.92, 107.13 and 71.78

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Solution

The fourth proportional to 71.92, 107.13 and 71.78 is: 106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 107.13 = 71.78 : x
  2. Step 2: Convert to fraction form
    71.92/107.13 = 71.78/x
  3. Step 3: Cross multiply
    71.92x = 107.13 × 71.78
  4. Step 4: Simplify right side
    71.92x = 7,689.43
  5. Step 5: Solve for x
    x = 7,689.43/71.92
  6. Step 6: Final answer
    x = 106.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.