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Finding the Fourth Proportional to 48.13, 71.84 and 41.73

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Solution

The fourth proportional to 48.13, 71.84 and 41.73 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.13 : 71.84 = 41.73 : x
  2. Step 2: Convert to fraction form
    48.13/71.84 = 41.73/x
  3. Step 3: Cross multiply
    48.13x = 71.84 × 41.73
  4. Step 4: Simplify right side
    48.13x = 2,997.88
  5. Step 5: Solve for x
    x = 2,997.88/48.13
  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.