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Finding the Fourth Proportional to 83.96, 115.78 and 56.32

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Solution

The fourth proportional to 83.96, 115.78 and 56.32 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.96 : 115.78 = 56.32 : x
  2. Step 2: Convert to fraction form
    83.96/115.78 = 56.32/x
  3. Step 3: Cross multiply
    83.96x = 115.78 × 56.32
  4. Step 4: Simplify right side
    83.96x = 6,520.73
  5. Step 5: Solve for x
    x = 6,520.73/83.96
  6. Step 6: Final answer
    x = 77.66

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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.