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Finding the Fourth Proportional to 138.07, 206.87 and 120.76

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Solution

The fourth proportional to 138.07, 206.87 and 120.76 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.07 : 206.87 = 120.76 : x
  2. Step 2: Convert to fraction form
    138.07/206.87 = 120.76/x
  3. Step 3: Cross multiply
    138.07x = 206.87 × 120.76
  4. Step 4: Simplify right side
    138.07x = 24,979.98
  5. Step 5: Solve for x
    x = 24,979.98/138.07
  6. Step 6: Final answer
    x = 180.93

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