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Finding the Fourth Proportional to 83.78, 125.81 and 51.92

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Solution

The fourth proportional to 83.78, 125.81 and 51.92 is: 77.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 125.81 = 51.92 : x
  2. Step 2: Convert to fraction form
    83.78/125.81 = 51.92/x
  3. Step 3: Cross multiply
    83.78x = 125.81 × 51.92
  4. Step 4: Simplify right side
    83.78x = 6,531.80
  5. Step 5: Solve for x
    x = 6,531.80/83.78
  6. Step 6: Final answer
    x = 77.96

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