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Finding the Fourth Proportional to 42.21, 62.96 and 41.13

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Solution

The fourth proportional to 42.21, 62.96 and 41.13 is: 61.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.21 : 62.96 = 41.13 : x
  2. Step 2: Convert to fraction form
    42.21/62.96 = 41.13/x
  3. Step 3: Cross multiply
    42.21x = 62.96 × 41.13
  4. Step 4: Simplify right side
    42.21x = 2,589.34
  5. Step 5: Solve for x
    x = 2,589.34/42.21
  6. Step 6: Final answer
    x = 61.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.