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Finding the Fourth Proportional to 138.05, 206.59 and 116.41

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Solution

The fourth proportional to 138.05, 206.59 and 116.41 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 206.59 = 116.41 : x
  2. Step 2: Convert to fraction form
    138.05/206.59 = 116.41/x
  3. Step 3: Cross multiply
    138.05x = 206.59 × 116.41
  4. Step 4: Simplify right side
    138.05x = 24,047.53
  5. Step 5: Solve for x
    x = 24,047.53/138.05
  6. Step 6: Final answer
    x = 174.19

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