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Finding the Fourth Proportional to 83.78, 125.74 and 77.70

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Solution

The fourth proportional to 83.78, 125.74 and 77.70 is: 116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 125.74 = 77.70 : x
  2. Step 2: Convert to fraction form
    83.78/125.74 = 77.70/x
  3. Step 3: Cross multiply
    83.78x = 125.74 × 77.70
  4. Step 4: Simplify right side
    83.78x = 9,770.00
  5. Step 5: Solve for x
    x = 9,770.00/83.78
  6. Step 6: Final answer
    x = 116.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.