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Finding the Fourth Proportional to 126.82, 175.08 and 97.66

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Solution

The fourth proportional to 126.82, 175.08 and 97.66 is: 134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.82 : 175.08 = 97.66 : x
  2. Step 2: Convert to fraction form
    126.82/175.08 = 97.66/x
  3. Step 3: Cross multiply
    126.82x = 175.08 × 97.66
  4. Step 4: Simplify right side
    126.82x = 17,098.31
  5. Step 5: Solve for x
    x = 17,098.31/126.82
  6. Step 6: Final answer
    x = 134.82

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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.