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Finding the Fourth Proportional to 126.07, 173.82 and 82.33

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Solution

The fourth proportional to 126.07, 173.82 and 82.33 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 173.82 = 82.33 : x
  2. Step 2: Convert to fraction form
    126.07/173.82 = 82.33/x
  3. Step 3: Cross multiply
    126.07x = 173.82 × 82.33
  4. Step 4: Simplify right side
    126.07x = 14,310.60
  5. Step 5: Solve for x
    x = 14,310.60/126.07
  6. Step 6: Final answer
    x = 113.51

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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.