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Finding the Fourth Proportional to 126.81, 175.02 and 82.55

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Solution

The fourth proportional to 126.81, 175.02 and 82.55 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.81 : 175.02 = 82.55 : x
  2. Step 2: Convert to fraction form
    126.81/175.02 = 82.55/x
  3. Step 3: Cross multiply
    126.81x = 175.02 × 82.55
  4. Step 4: Simplify right side
    126.81x = 14,447.03
  5. Step 5: Solve for x
    x = 14,447.03/126.81
  6. Step 6: Final answer
    x = 113.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.