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Finding the Fourth Proportional to 123.91, 185.76 and 83.20

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Solution

The fourth proportional to 123.91, 185.76 and 83.20 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 185.76 = 83.20 : x
  2. Step 2: Convert to fraction form
    123.91/185.76 = 83.20/x
  3. Step 3: Cross multiply
    123.91x = 185.76 × 83.20
  4. Step 4: Simplify right side
    123.91x = 15,455.23
  5. Step 5: Solve for x
    x = 15,455.23/123.91
  6. Step 6: Final answer
    x = 124.73

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