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Finding the Fourth Proportional to 138.75, 208.56 and 90.96

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Solution

The fourth proportional to 138.75, 208.56 and 90.96 is: 136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 208.56 = 90.96 : x
  2. Step 2: Convert to fraction form
    138.75/208.56 = 90.96/x
  3. Step 3: Cross multiply
    138.75x = 208.56 × 90.96
  4. Step 4: Simplify right side
    138.75x = 18,970.62
  5. Step 5: Solve for x
    x = 18,970.62/138.75
  6. Step 6: Final answer
    x = 136.73

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