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Finding the Fourth Proportional to 83.24, 124.82 and 31.85

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Solution

The fourth proportional to 83.24, 124.82 and 31.85 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 124.82 = 31.85 : x
  2. Step 2: Convert to fraction form
    83.24/124.82 = 31.85/x
  3. Step 3: Cross multiply
    83.24x = 124.82 × 31.85
  4. Step 4: Simplify right side
    83.24x = 3,976.02
  5. Step 5: Solve for x
    x = 3,976.02/83.24
  6. Step 6: Final answer
    x = 47.76

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