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Finding the Fourth Proportional to 83.52, 114.96 and 77.04

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Solution

The fourth proportional to 83.52, 114.96 and 77.04 is: 106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.52 : 114.96 = 77.04 : x
  2. Step 2: Convert to fraction form
    83.52/114.96 = 77.04/x
  3. Step 3: Cross multiply
    83.52x = 114.96 × 77.04
  4. Step 4: Simplify right side
    83.52x = 8,856.52
  5. Step 5: Solve for x
    x = 8,856.52/83.52
  6. Step 6: Final answer
    x = 106.04

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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.