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Finding the Fourth Proportional to 41.41, 62.05 and 29.22

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Solution

The fourth proportional to 41.41, 62.05 and 29.22 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.41 : 62.05 = 29.22 : x
  2. Step 2: Convert to fraction form
    41.41/62.05 = 29.22/x
  3. Step 3: Cross multiply
    41.41x = 62.05 × 29.22
  4. Step 4: Simplify right side
    41.41x = 1,813.10
  5. Step 5: Solve for x
    x = 1,813.10/41.41
  6. Step 6: Final answer
    x = 43.78

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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.