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Finding the Fourth Proportional to 71.31, 107.16 and 42.42

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Solution

The fourth proportional to 71.31, 107.16 and 42.42 is: 63.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 107.16 = 42.42 : x
  2. Step 2: Convert to fraction form
    71.31/107.16 = 42.42/x
  3. Step 3: Cross multiply
    71.31x = 107.16 × 42.42
  4. Step 4: Simplify right side
    71.31x = 4,546.00
  5. Step 5: Solve for x
    x = 4,546.00/71.31
  6. Step 6: Final answer
    x = 63.75

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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.