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Finding the Fourth Proportional to 83.50, 125.15 and 37.80

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Solution

The fourth proportional to 83.50, 125.15 and 37.80 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 125.15 = 37.80 : x
  2. Step 2: Convert to fraction form
    83.50/125.15 = 37.80/x
  3. Step 3: Cross multiply
    83.50x = 125.15 × 37.80
  4. Step 4: Simplify right side
    83.50x = 4,730.48
  5. Step 5: Solve for x
    x = 4,730.48/83.50
  6. Step 6: Final answer
    x = 56.65

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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.