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Finding the Fourth Proportional to 96.26, 144.26 and 38.42

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Solution

The fourth proportional to 96.26, 144.26 and 38.42 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.26 : 144.26 = 38.42 : x
  2. Step 2: Convert to fraction form
    96.26/144.26 = 38.42/x
  3. Step 3: Cross multiply
    96.26x = 144.26 × 38.42
  4. Step 4: Simplify right side
    96.26x = 5,542.47
  5. Step 5: Solve for x
    x = 5,542.47/96.26
  6. Step 6: Final answer
    x = 57.58

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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.