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Finding the Fourth Proportional to 180.08, 269.91 and 107.72

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Solution

The fourth proportional to 180.08, 269.91 and 107.72 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 269.91 = 107.72 : x
  2. Step 2: Convert to fraction form
    180.08/269.91 = 107.72/x
  3. Step 3: Cross multiply
    180.08x = 269.91 × 107.72
  4. Step 4: Simplify right side
    180.08x = 29,073.36
  5. Step 5: Solve for x
    x = 29,073.36/180.08
  6. Step 6: Final answer
    x = 161.45

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