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Finding the Fourth Proportional to 71.26, 107.31 and 59.92

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Solution

The fourth proportional to 71.26, 107.31 and 59.92 is: 90.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.26 : 107.31 = 59.92 : x
  2. Step 2: Convert to fraction form
    71.26/107.31 = 59.92/x
  3. Step 3: Cross multiply
    71.26x = 107.31 × 59.92
  4. Step 4: Simplify right side
    71.26x = 6,429.97
  5. Step 5: Solve for x
    x = 6,429.97/71.26
  6. Step 6: Final answer
    x = 90.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.