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Finding the Fourth Proportional to 41.34, 62.05 and 29.78

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Solution

The fourth proportional to 41.34, 62.05 and 29.78 is: 44.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 62.05 = 29.78 : x
  2. Step 2: Convert to fraction form
    41.34/62.05 = 29.78/x
  3. Step 3: Cross multiply
    41.34x = 62.05 × 29.78
  4. Step 4: Simplify right side
    41.34x = 1,847.80
  5. Step 5: Solve for x
    x = 1,847.80/41.34
  6. Step 6: Final answer
    x = 44.70

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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.