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Finding the Fourth Proportional to 42.14, 62.92 and 41.72

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Solution

The fourth proportional to 42.14, 62.92 and 41.72 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 62.92 = 41.72 : x
  2. Step 2: Convert to fraction form
    42.14/62.92 = 41.72/x
  3. Step 3: Cross multiply
    42.14x = 62.92 × 41.72
  4. Step 4: Simplify right side
    42.14x = 2,625.02
  5. Step 5: Solve for x
    x = 2,625.02/42.14
  6. Step 6: Final answer
    x = 62.29

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