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Finding the Fourth Proportional to 71.76, 107.38 and 62.24

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Solution

The fourth proportional to 71.76, 107.38 and 62.24 is: 93.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 107.38 = 62.24 : x
  2. Step 2: Convert to fraction form
    71.76/107.38 = 62.24/x
  3. Step 3: Cross multiply
    71.76x = 107.38 × 62.24
  4. Step 4: Simplify right side
    71.76x = 6,683.44
  5. Step 5: Solve for x
    x = 6,683.44/71.76
  6. Step 6: Final answer
    x = 93.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.