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Finding the Fourth Proportional to 138.03, 206.63 and 102.12

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Solution

The fourth proportional to 138.03, 206.63 and 102.12 is: 152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.03 : 206.63 = 102.12 : x
  2. Step 2: Convert to fraction form
    138.03/206.63 = 102.12/x
  3. Step 3: Cross multiply
    138.03x = 206.63 × 102.12
  4. Step 4: Simplify right side
    138.03x = 21,100.28
  5. Step 5: Solve for x
    x = 21,100.28/138.03
  6. Step 6: Final answer
    x = 152.87

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