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Finding the Fourth Proportional to 42.13, 58.08 and 41.52

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Solution

The fourth proportional to 42.13, 58.08 and 41.52 is: 57.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 58.08 = 41.52 : x
  2. Step 2: Convert to fraction form
    42.13/58.08 = 41.52/x
  3. Step 3: Cross multiply
    42.13x = 58.08 × 41.52
  4. Step 4: Simplify right side
    42.13x = 2,411.48
  5. Step 5: Solve for x
    x = 2,411.48/42.13
  6. Step 6: Final answer
    x = 57.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.