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Finding the Fourth Proportional to 138.78, 208.42 and 104.09

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Solution

The fourth proportional to 138.78, 208.42 and 104.09 is: 156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.78 : 208.42 = 104.09 : x
  2. Step 2: Convert to fraction form
    138.78/208.42 = 104.09/x
  3. Step 3: Cross multiply
    138.78x = 208.42 × 104.09
  4. Step 4: Simplify right side
    138.78x = 21,693.14
  5. Step 5: Solve for x
    x = 21,693.14/138.78
  6. Step 6: Final answer
    x = 156.31

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