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Finding the Fourth Proportional to 120.22, 165.91 and 78.86

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Solution

The fourth proportional to 120.22, 165.91 and 78.86 is: 108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 165.91 = 78.86 : x
  2. Step 2: Convert to fraction form
    120.22/165.91 = 78.86/x
  3. Step 3: Cross multiply
    120.22x = 165.91 × 78.86
  4. Step 4: Simplify right side
    120.22x = 13,083.66
  5. Step 5: Solve for x
    x = 13,083.66/120.22
  6. Step 6: Final answer
    x = 108.83

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