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Finding the Fourth Proportional to 138.18, 206.76 and 85.94

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Solution

The fourth proportional to 138.18, 206.76 and 85.94 is: 128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.18 : 206.76 = 85.94 : x
  2. Step 2: Convert to fraction form
    138.18/206.76 = 85.94/x
  3. Step 3: Cross multiply
    138.18x = 206.76 × 85.94
  4. Step 4: Simplify right side
    138.18x = 17,768.20
  5. Step 5: Solve for x
    x = 17,768.20/138.18
  6. Step 6: Final answer
    x = 128.59

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