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Finding the Fourth Proportional to 96.29, 144.25 and 67.34

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Solution

The fourth proportional to 96.29, 144.25 and 67.34 is: 100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.29 : 144.25 = 67.34 : x
  2. Step 2: Convert to fraction form
    96.29/144.25 = 67.34/x
  3. Step 3: Cross multiply
    96.29x = 144.25 × 67.34
  4. Step 4: Simplify right side
    96.29x = 9,713.80
  5. Step 5: Solve for x
    x = 9,713.80/96.29
  6. Step 6: Final answer
    x = 100.88

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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.