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Finding the Fourth Proportional to 126.06, 173.94 and 82.50

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Solution

The fourth proportional to 126.06, 173.94 and 82.50 is: 113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.06 : 173.94 = 82.50 : x
  2. Step 2: Convert to fraction form
    126.06/173.94 = 82.50/x
  3. Step 3: Cross multiply
    126.06x = 173.94 × 82.50
  4. Step 4: Simplify right side
    126.06x = 14,350.05
  5. Step 5: Solve for x
    x = 14,350.05/126.06
  6. Step 6: Final answer
    x = 113.84

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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.