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Finding the Fourth Proportional to 120.20, 180.24 and 65.96

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Solution

The fourth proportional to 120.20, 180.24 and 65.96 is: 98.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 180.24 = 65.96 : x
  2. Step 2: Convert to fraction form
    120.20/180.24 = 65.96/x
  3. Step 3: Cross multiply
    120.20x = 180.24 × 65.96
  4. Step 4: Simplify right side
    120.20x = 11,888.63
  5. Step 5: Solve for x
    x = 11,888.63/120.20
  6. Step 6: Final answer
    x = 98.91

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