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Finding the Fourth Proportional to 42.16, 62.93 and 38.31

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Solution

The fourth proportional to 42.16, 62.93 and 38.31 is: 57.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 62.93 = 38.31 : x
  2. Step 2: Convert to fraction form
    42.16/62.93 = 38.31/x
  3. Step 3: Cross multiply
    42.16x = 62.93 × 38.31
  4. Step 4: Simplify right side
    42.16x = 2,410.85
  5. Step 5: Solve for x
    x = 2,410.85/42.16
  6. Step 6: Final answer
    x = 57.18

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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.