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Finding the Fourth Proportional to 120.29, 180.23 and 115.97

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Solution

The fourth proportional to 120.29, 180.23 and 115.97 is: 173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 180.23 = 115.97 : x
  2. Step 2: Convert to fraction form
    120.29/180.23 = 115.97/x
  3. Step 3: Cross multiply
    120.29x = 180.23 × 115.97
  4. Step 4: Simplify right side
    120.29x = 20,899.79
  5. Step 5: Solve for x
    x = 20,899.79/120.29
  6. Step 6: Final answer
    x = 173.75

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