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Finding the Fourth Proportional to 120.76, 166.54 and 107.96

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Solution

The fourth proportional to 120.76, 166.54 and 107.96 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.76 : 166.54 = 107.96 : x
  2. Step 2: Convert to fraction form
    120.76/166.54 = 107.96/x
  3. Step 3: Cross multiply
    120.76x = 166.54 × 107.96
  4. Step 4: Simplify right side
    120.76x = 17,979.66
  5. Step 5: Solve for x
    x = 17,979.66/120.76
  6. Step 6: Final answer
    x = 148.89

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