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Finding the Fourth Proportional to 118.72, 178.14 and 109.84

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Solution

The fourth proportional to 118.72, 178.14 and 109.84 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.72 : 178.14 = 109.84 : x
  2. Step 2: Convert to fraction form
    118.72/178.14 = 109.84/x
  3. Step 3: Cross multiply
    118.72x = 178.14 × 109.84
  4. Step 4: Simplify right side
    118.72x = 19,566.90
  5. Step 5: Solve for x
    x = 19,566.90/118.72
  6. Step 6: Final answer
    x = 164.82

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