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Finding the Fourth Proportional to 120.78, 166.80 and 113.04

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Solution

The fourth proportional to 120.78, 166.80 and 113.04 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.78 : 166.80 = 113.04 : x
  2. Step 2: Convert to fraction form
    120.78/166.80 = 113.04/x
  3. Step 3: Cross multiply
    120.78x = 166.80 × 113.04
  4. Step 4: Simplify right side
    120.78x = 18,855.07
  5. Step 5: Solve for x
    x = 18,855.07/120.78
  6. Step 6: Final answer
    x = 156.11

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