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Finding the Fourth Proportional to 83.46, 125.16 and 37.80

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Solution

The fourth proportional to 83.46, 125.16 and 37.80 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.46 : 125.16 = 37.80 : x
  2. Step 2: Convert to fraction form
    83.46/125.16 = 37.80/x
  3. Step 3: Cross multiply
    83.46x = 125.16 × 37.80
  4. Step 4: Simplify right side
    83.46x = 4,731.05
  5. Step 5: Solve for x
    x = 4,731.05/83.46
  6. Step 6: Final answer
    x = 56.69

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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.