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Finding the Fourth Proportional to 96, 143.32 and 82.24

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Solution

The fourth proportional to 96, 143.32 and 82.24 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 143.32 = 82.24 : x
  2. Step 2: Convert to fraction form
    96/143.32 = 82.24/x
  3. Step 3: Cross multiply
    96x = 143.32 × 82.24
  4. Step 4: Simplify right side
    96x = 11,786.64
  5. Step 5: Solve for x
    x = 11,786.64/96
  6. Step 6: Final answer
    x = 122.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.