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Finding the Fourth Proportional to 83.70, 125.36 and 37.98

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Solution

The fourth proportional to 83.70, 125.36 and 37.98 is: 56.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.70 : 125.36 = 37.98 : x
  2. Step 2: Convert to fraction form
    83.70/125.36 = 37.98/x
  3. Step 3: Cross multiply
    83.70x = 125.36 × 37.98
  4. Step 4: Simplify right side
    83.70x = 4,760.98
  5. Step 5: Solve for x
    x = 4,760.98/83.70
  6. Step 6: Final answer
    x = 56.88

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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.