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Finding the Fourth Proportional to 140.14, 209.84 and 109.56

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Solution

The fourth proportional to 140.14, 209.84 and 109.56 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 209.84 = 109.56 : x
  2. Step 2: Convert to fraction form
    140.14/209.84 = 109.56/x
  3. Step 3: Cross multiply
    140.14x = 209.84 × 109.56
  4. Step 4: Simplify right side
    140.14x = 22,989.52
  5. Step 5: Solve for x
    x = 22,989.52/140.14
  6. Step 6: Final answer
    x = 164.05

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