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Finding the Fourth Proportional to 42.05, 62.71 and 41.02

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Solution

The fourth proportional to 42.05, 62.71 and 41.02 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 62.71 = 41.02 : x
  2. Step 2: Convert to fraction form
    42.05/62.71 = 41.02/x
  3. Step 3: Cross multiply
    42.05x = 62.71 × 41.02
  4. Step 4: Simplify right side
    42.05x = 2,572.34
  5. Step 5: Solve for x
    x = 2,572.34/42.05
  6. Step 6: Final answer
    x = 61.17

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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.