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Finding the Fourth Proportional to 48.92, 73.44 and 38.12

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Solution

The fourth proportional to 48.92, 73.44 and 38.12 is: 57.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.92 : 73.44 = 38.12 : x
  2. Step 2: Convert to fraction form
    48.92/73.44 = 38.12/x
  3. Step 3: Cross multiply
    48.92x = 73.44 × 38.12
  4. Step 4: Simplify right side
    48.92x = 2,799.53
  5. Step 5: Solve for x
    x = 2,799.53/48.92
  6. Step 6: Final answer
    x = 57.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.