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Finding the Fourth Proportional to 83.41, 125.12 and 37.78

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Solution

The fourth proportional to 83.41, 125.12 and 37.78 is: 56.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.41 : 125.12 = 37.78 : x
  2. Step 2: Convert to fraction form
    83.41/125.12 = 37.78/x
  3. Step 3: Cross multiply
    83.41x = 125.12 × 37.78
  4. Step 4: Simplify right side
    83.41x = 4,727.03
  5. Step 5: Solve for x
    x = 4,727.03/83.41
  6. Step 6: Final answer
    x = 56.67

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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.