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Finding the Fourth Proportional to 71.32, 106.49 and 62.58

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Solution

The fourth proportional to 71.32, 106.49 and 62.58 is: 93.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 106.49 = 62.58 : x
  2. Step 2: Convert to fraction form
    71.32/106.49 = 62.58/x
  3. Step 3: Cross multiply
    71.32x = 106.49 × 62.58
  4. Step 4: Simplify right side
    71.32x = 6,663.61
  5. Step 5: Solve for x
    x = 6,663.61/71.32
  6. Step 6: Final answer
    x = 93.44

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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.