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Finding the Fourth Proportional to 126.72, 173.75 and 119.43

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Solution

The fourth proportional to 126.72, 173.75 and 119.43 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 173.75 = 119.43 : x
  2. Step 2: Convert to fraction form
    126.72/173.75 = 119.43/x
  3. Step 3: Cross multiply
    126.72x = 173.75 × 119.43
  4. Step 4: Simplify right side
    126.72x = 20,750.37
  5. Step 5: Solve for x
    x = 20,750.37/126.72
  6. Step 6: Final answer
    x = 163.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.