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Finding the Fourth Proportional to 110.96, 166.24 and 83.92

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Solution

The fourth proportional to 110.96, 166.24 and 83.92 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.96 : 166.24 = 83.92 : x
  2. Step 2: Convert to fraction form
    110.96/166.24 = 83.92/x
  3. Step 3: Cross multiply
    110.96x = 166.24 × 83.92
  4. Step 4: Simplify right side
    110.96x = 13,950.86
  5. Step 5: Solve for x
    x = 13,950.86/110.96
  6. Step 6: Final answer
    x = 125.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.