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Finding the Fourth Proportional to 77.92, 107.50 and 59.54

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Solution

The fourth proportional to 77.92, 107.50 and 59.54 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 107.50 = 59.54 : x
  2. Step 2: Convert to fraction form
    77.92/107.50 = 59.54/x
  3. Step 3: Cross multiply
    77.92x = 107.50 × 59.54
  4. Step 4: Simplify right side
    77.92x = 6,400.55
  5. Step 5: Solve for x
    x = 6,400.55/77.92
  6. Step 6: Final answer
    x = 82.14

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Why These Related Problems?

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