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Finding the Fourth Proportional to 138.74, 208.11 and 75.02

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Solution

The fourth proportional to 138.74, 208.11 and 75.02 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.74 : 208.11 = 75.02 : x
  2. Step 2: Convert to fraction form
    138.74/208.11 = 75.02/x
  3. Step 3: Cross multiply
    138.74x = 208.11 × 75.02
  4. Step 4: Simplify right side
    138.74x = 15,612.41
  5. Step 5: Solve for x
    x = 15,612.41/138.74
  6. Step 6: Final answer
    x = 112.53

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