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Finding the Fourth Proportional to 83.26, 124.90 and 34.54

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Solution

The fourth proportional to 83.26, 124.90 and 34.54 is: 51.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 124.90 = 34.54 : x
  2. Step 2: Convert to fraction form
    83.26/124.90 = 34.54/x
  3. Step 3: Cross multiply
    83.26x = 124.90 × 34.54
  4. Step 4: Simplify right side
    83.26x = 4,313.42
  5. Step 5: Solve for x
    x = 4,313.42/83.26
  6. Step 6: Final answer
    x = 51.81

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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.