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Finding the Fourth Proportional to 83.90, 125.78 and 81.98

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Solution

The fourth proportional to 83.90, 125.78 and 81.98 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.90 : 125.78 = 81.98 : x
  2. Step 2: Convert to fraction form
    83.90/125.78 = 81.98/x
  3. Step 3: Cross multiply
    83.90x = 125.78 × 81.98
  4. Step 4: Simplify right side
    83.90x = 10,311.44
  5. Step 5: Solve for x
    x = 10,311.44/83.90
  6. Step 6: Final answer
    x = 122.90

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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.