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Finding the Fourth Proportional to 71.92, 107.88 and 20.58

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Solution

The fourth proportional to 71.92, 107.88 and 20.58 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 107.88 = 20.58 : x
  2. Step 2: Convert to fraction form
    71.92/107.88 = 20.58/x
  3. Step 3: Cross multiply
    71.92x = 107.88 × 20.58
  4. Step 4: Simplify right side
    71.92x = 2,220.17
  5. Step 5: Solve for x
    x = 2,220.17/71.92
  6. Step 6: Final answer
    x = 30.87

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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.