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Finding the Fourth Proportional to 83.58, 126.11 and 80.56

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Solution

The fourth proportional to 83.58, 126.11 and 80.56 is: 121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.58 : 126.11 = 80.56 : x
  2. Step 2: Convert to fraction form
    83.58/126.11 = 80.56/x
  3. Step 3: Cross multiply
    83.58x = 126.11 × 80.56
  4. Step 4: Simplify right side
    83.58x = 10,159.42
  5. Step 5: Solve for x
    x = 10,159.42/83.58
  6. Step 6: Final answer
    x = 121.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.