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Finding the Fourth Proportional to 125.97, 173.80 and 82.33

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Solution

The fourth proportional to 125.97, 173.80 and 82.33 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.97 : 173.80 = 82.33 : x
  2. Step 2: Convert to fraction form
    125.97/173.80 = 82.33/x
  3. Step 3: Cross multiply
    125.97x = 173.80 × 82.33
  4. Step 4: Simplify right side
    125.97x = 14,309.40
  5. Step 5: Solve for x
    x = 14,309.40/125.97
  6. Step 6: Final answer
    x = 113.59

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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.