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Finding the Fourth Proportional to 126.22, 174.17 and 73.78

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Solution

The fourth proportional to 126.22, 174.17 and 73.78 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.22 : 174.17 = 73.78 : x
  2. Step 2: Convert to fraction form
    126.22/174.17 = 73.78/x
  3. Step 3: Cross multiply
    126.22x = 174.17 × 73.78
  4. Step 4: Simplify right side
    126.22x = 12,850.09
  5. Step 5: Solve for x
    x = 12,850.09/126.22
  6. Step 6: Final answer
    x = 101.81

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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.