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Finding the Fourth Proportional to 80.97, 121.65 and 57.07

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Solution

The fourth proportional to 80.97, 121.65 and 57.07 is: 85.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.97 : 121.65 = 57.07 : x
  2. Step 2: Convert to fraction form
    80.97/121.65 = 57.07/x
  3. Step 3: Cross multiply
    80.97x = 121.65 × 57.07
  4. Step 4: Simplify right side
    80.97x = 6,942.57
  5. Step 5: Solve for x
    x = 6,942.57/80.97
  6. Step 6: Final answer
    x = 85.74

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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.