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Finding the Fourth Proportional to 82.87, 124.15 and 59.93

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Solution

The fourth proportional to 82.87, 124.15 and 59.93 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 124.15 = 59.93 : x
  2. Step 2: Convert to fraction form
    82.87/124.15 = 59.93/x
  3. Step 3: Cross multiply
    82.87x = 124.15 × 59.93
  4. Step 4: Simplify right side
    82.87x = 7,440.31
  5. Step 5: Solve for x
    x = 7,440.31/82.87
  6. Step 6: Final answer
    x = 89.78

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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.