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Finding the Fourth Proportional to 83.78, 115.31 and 61.91

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Solution

The fourth proportional to 83.78, 115.31 and 61.91 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 115.31 = 61.91 : x
  2. Step 2: Convert to fraction form
    83.78/115.31 = 61.91/x
  3. Step 3: Cross multiply
    83.78x = 115.31 × 61.91
  4. Step 4: Simplify right side
    83.78x = 7,138.42
  5. Step 5: Solve for x
    x = 7,138.42/83.78
  6. Step 6: Final answer
    x = 85.21

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