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Finding the Fourth Proportional to 83.89, 115.77 and 52.78

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Solution

The fourth proportional to 83.89, 115.77 and 52.78 is: 72.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.89 : 115.77 = 52.78 : x
  2. Step 2: Convert to fraction form
    83.89/115.77 = 52.78/x
  3. Step 3: Cross multiply
    83.89x = 115.77 × 52.78
  4. Step 4: Simplify right side
    83.89x = 6,109.50
  5. Step 5: Solve for x
    x = 6,109.50/83.89
  6. Step 6: Final answer
    x = 72.83

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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.