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Finding the Fourth Proportional to 41.34, 62.02 and 14.29

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Solution

The fourth proportional to 41.34, 62.02 and 14.29 is: 21.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 62.02 = 14.29 : x
  2. Step 2: Convert to fraction form
    41.34/62.02 = 14.29/x
  3. Step 3: Cross multiply
    41.34x = 62.02 × 14.29
  4. Step 4: Simplify right side
    41.34x = 886.27
  5. Step 5: Solve for x
    x = 886.27/41.34
  6. Step 6: Final answer
    x = 21.44

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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.