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Finding the Fourth Proportional to 105.85, 159.08 and 78.91

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Solution

The fourth proportional to 105.85, 159.08 and 78.91 is: 118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 159.08 = 78.91 : x
  2. Step 2: Convert to fraction form
    105.85/159.08 = 78.91/x
  3. Step 3: Cross multiply
    105.85x = 159.08 × 78.91
  4. Step 4: Simplify right side
    105.85x = 12,553.00
  5. Step 5: Solve for x
    x = 12,553.00/105.85
  6. Step 6: Final answer
    x = 118.59

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