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Finding the Fourth Proportional to 120.27, 166 and 78.75

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Solution

The fourth proportional to 120.27, 166 and 78.75 is: 108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.27 : 166 = 78.75 : x
  2. Step 2: Convert to fraction form
    120.27/166 = 78.75/x
  3. Step 3: Cross multiply
    120.27x = 166 × 78.75
  4. Step 4: Simplify right side
    120.27x = 13,072.50
  5. Step 5: Solve for x
    x = 13,072.50/120.27
  6. Step 6: Final answer
    x = 108.69

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