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Finding the Fourth Proportional to 96.43, 144.41 and 79.42

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Solution

The fourth proportional to 96.43, 144.41 and 79.42 is: 118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.43 : 144.41 = 79.42 : x
  2. Step 2: Convert to fraction form
    96.43/144.41 = 79.42/x
  3. Step 3: Cross multiply
    96.43x = 144.41 × 79.42
  4. Step 4: Simplify right side
    96.43x = 11,469.04
  5. Step 5: Solve for x
    x = 11,469.04/96.43
  6. Step 6: Final answer
    x = 118.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.