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Finding the Fourth Proportional to 96.20, 144.09 and 82.83

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Solution

The fourth proportional to 96.20, 144.09 and 82.83 is: 124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 144.09 = 82.83 : x
  2. Step 2: Convert to fraction form
    96.20/144.09 = 82.83/x
  3. Step 3: Cross multiply
    96.20x = 144.09 × 82.83
  4. Step 4: Simplify right side
    96.20x = 11,934.97
  5. Step 5: Solve for x
    x = 11,934.97/96.20
  6. Step 6: Final answer
    x = 124.07

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