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Finding the Fourth Proportional to 42.13, 58.54 and 41.72

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Solution

The fourth proportional to 42.13, 58.54 and 41.72 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 58.54 = 41.72 : x
  2. Step 2: Convert to fraction form
    42.13/58.54 = 41.72/x
  3. Step 3: Cross multiply
    42.13x = 58.54 × 41.72
  4. Step 4: Simplify right side
    42.13x = 2,442.29
  5. Step 5: Solve for x
    x = 2,442.29/42.13
  6. Step 6: Final answer
    x = 57.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.