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Finding the Fourth Proportional to 83.47, 125.25 and 37.82

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Solution

The fourth proportional to 83.47, 125.25 and 37.82 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.47 : 125.25 = 37.82 : x
  2. Step 2: Convert to fraction form
    83.47/125.25 = 37.82/x
  3. Step 3: Cross multiply
    83.47x = 125.25 × 37.82
  4. Step 4: Simplify right side
    83.47x = 4,736.96
  5. Step 5: Solve for x
    x = 4,736.96/83.47
  6. Step 6: Final answer
    x = 56.75

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