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Finding the Fourth Proportional to 126.96, 174.96 and 97.76

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Solution

The fourth proportional to 126.96, 174.96 and 97.76 is: 134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 174.96 = 97.76 : x
  2. Step 2: Convert to fraction form
    126.96/174.96 = 97.76/x
  3. Step 3: Cross multiply
    126.96x = 174.96 × 97.76
  4. Step 4: Simplify right side
    126.96x = 17,104.09
  5. Step 5: Solve for x
    x = 17,104.09/126.96
  6. Step 6: Final answer
    x = 134.72

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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.