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Finding the Fourth Proportional to 83.64, 125.49 and 49.38

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Solution

The fourth proportional to 83.64, 125.49 and 49.38 is: 74.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 125.49 = 49.38 : x
  2. Step 2: Convert to fraction form
    83.64/125.49 = 49.38/x
  3. Step 3: Cross multiply
    83.64x = 125.49 × 49.38
  4. Step 4: Simplify right side
    83.64x = 6,196.70
  5. Step 5: Solve for x
    x = 6,196.70/83.64
  6. Step 6: Final answer
    x = 74.09

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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.