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Finding the Fourth Proportional to 83.07, 114.64 and 69.23

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Solution

The fourth proportional to 83.07, 114.64 and 69.23 is: 95.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 114.64 = 69.23 : x
  2. Step 2: Convert to fraction form
    83.07/114.64 = 69.23/x
  3. Step 3: Cross multiply
    83.07x = 114.64 × 69.23
  4. Step 4: Simplify right side
    83.07x = 7,936.99
  5. Step 5: Solve for x
    x = 7,936.99/83.07
  6. Step 6: Final answer
    x = 95.54

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