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Finding the Fourth Proportional to 83.80, 115.78 and 77.32

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Solution

The fourth proportional to 83.80, 115.78 and 77.32 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 115.78 = 77.32 : x
  2. Step 2: Convert to fraction form
    83.80/115.78 = 77.32/x
  3. Step 3: Cross multiply
    83.80x = 115.78 × 77.32
  4. Step 4: Simplify right side
    83.80x = 8,952.11
  5. Step 5: Solve for x
    x = 8,952.11/83.80
  6. Step 6: Final answer
    x = 106.83

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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.