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Finding the Fourth Proportional to 76.73, 105.72 and 59.24

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Solution

The fourth proportional to 76.73, 105.72 and 59.24 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.73 : 105.72 = 59.24 : x
  2. Step 2: Convert to fraction form
    76.73/105.72 = 59.24/x
  3. Step 3: Cross multiply
    76.73x = 105.72 × 59.24
  4. Step 4: Simplify right side
    76.73x = 6,262.32
  5. Step 5: Solve for x
    x = 6,262.32/76.73
  6. Step 6: Final answer
    x = 81.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.