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Finding the Fourth Proportional to 110.78, 166.22 and 83.92

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Solution

The fourth proportional to 110.78, 166.22 and 83.92 is: 125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 166.22 = 83.92 : x
  2. Step 2: Convert to fraction form
    110.78/166.22 = 83.92/x
  3. Step 3: Cross multiply
    110.78x = 166.22 × 83.92
  4. Step 4: Simplify right side
    110.78x = 13,949.18
  5. Step 5: Solve for x
    x = 13,949.18/110.78
  6. Step 6: Final answer
    x = 125.92

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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.