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Finding the Fourth Proportional to 138.55, 207.75 and 77.73

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Solution

The fourth proportional to 138.55, 207.75 and 77.73 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.55 : 207.75 = 77.73 : x
  2. Step 2: Convert to fraction form
    138.55/207.75 = 77.73/x
  3. Step 3: Cross multiply
    138.55x = 207.75 × 77.73
  4. Step 4: Simplify right side
    138.55x = 16,148.41
  5. Step 5: Solve for x
    x = 16,148.41/138.55
  6. Step 6: Final answer
    x = 116.55

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