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Finding the Fourth Proportional to 170.24, 255.44 and 77.75

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Solution

The fourth proportional to 170.24, 255.44 and 77.75 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 255.44 = 77.75 : x
  2. Step 2: Convert to fraction form
    170.24/255.44 = 77.75/x
  3. Step 3: Cross multiply
    170.24x = 255.44 × 77.75
  4. Step 4: Simplify right side
    170.24x = 19,860.46
  5. Step 5: Solve for x
    x = 19,860.46/170.24
  6. Step 6: Final answer
    x = 116.66

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