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Finding the Fourth Proportional to 96.28, 144.42 and 67.48

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Solution

The fourth proportional to 96.28, 144.42 and 67.48 is: 101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.28 : 144.42 = 67.48 : x
  2. Step 2: Convert to fraction form
    96.28/144.42 = 67.48/x
  3. Step 3: Cross multiply
    96.28x = 144.42 × 67.48
  4. Step 4: Simplify right side
    96.28x = 9,745.46
  5. Step 5: Solve for x
    x = 9,745.46/96.28
  6. Step 6: Final answer
    x = 101.22

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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.