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Finding the Fourth Proportional to 111.78, 167.75 and 77.59

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Solution

The fourth proportional to 111.78, 167.75 and 77.59 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 167.75 = 77.59 : x
  2. Step 2: Convert to fraction form
    111.78/167.75 = 77.59/x
  3. Step 3: Cross multiply
    111.78x = 167.75 × 77.59
  4. Step 4: Simplify right side
    111.78x = 13,015.72
  5. Step 5: Solve for x
    x = 13,015.72/111.78
  6. Step 6: Final answer
    x = 116.44

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