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Finding the Fourth Proportional to 83.78, 115.66 and 52.78

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Solution

The fourth proportional to 83.78, 115.66 and 52.78 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 115.66 = 52.78 : x
  2. Step 2: Convert to fraction form
    83.78/115.66 = 52.78/x
  3. Step 3: Cross multiply
    83.78x = 115.66 × 52.78
  4. Step 4: Simplify right side
    83.78x = 6,103.96
  5. Step 5: Solve for x
    x = 6,103.96/83.78
  6. Step 6: Final answer
    x = 72.86

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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.