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Finding the Fourth Proportional to 109.20, 163.92 and 75

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Solution

The fourth proportional to 109.20, 163.92 and 75 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 163.92 = 75 : x
  2. Step 2: Convert to fraction form
    109.20/163.92 = 75/x
  3. Step 3: Cross multiply
    109.20x = 163.92 × 75
  4. Step 4: Simplify right side
    109.20x = 12,294.00
  5. Step 5: Solve for x
    x = 12,294.00/109.20
  6. Step 6: Final answer
    x = 112.58

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