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Finding the Fourth Proportional to 126.82, 190.17 and 54.64

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Solution

The fourth proportional to 126.82, 190.17 and 54.64 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 190.17 = 54.64 : x
  2. Step 2: Convert to fraction form
    126.82/190.17 = 54.64/x
  3. Step 3: Cross multiply
    126.82x = 190.17 × 54.64
  4. Step 4: Simplify right side
    126.82x = 10,390.89
  5. Step 5: Solve for x
    x = 10,390.89/126.82
  6. Step 6: Final answer
    x = 81.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.