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Finding the Fourth Proportional to 114.24, 171.54 and 75.81

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Solution

The fourth proportional to 114.24, 171.54 and 75.81 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 171.54 = 75.81 : x
  2. Step 2: Convert to fraction form
    114.24/171.54 = 75.81/x
  3. Step 3: Cross multiply
    114.24x = 171.54 × 75.81
  4. Step 4: Simplify right side
    114.24x = 13,004.45
  5. Step 5: Solve for x
    x = 13,004.45/114.24
  6. Step 6: Final answer
    x = 113.83

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