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Finding the Fourth Proportional to 39.92, 59.84 and 29.76

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Solution

The fourth proportional to 39.92, 59.84 and 29.76 is: 44.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.92 : 59.84 = 29.76 : x
  2. Step 2: Convert to fraction form
    39.92/59.84 = 29.76/x
  3. Step 3: Cross multiply
    39.92x = 59.84 × 29.76
  4. Step 4: Simplify right side
    39.92x = 1,780.84
  5. Step 5: Solve for x
    x = 1,780.84/39.92
  6. Step 6: Final answer
    x = 44.61

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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.