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Finding the Fourth Proportional to 80.85, 121.23 and 26.71

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Solution

The fourth proportional to 80.85, 121.23 and 26.71 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.85 : 121.23 = 26.71 : x
  2. Step 2: Convert to fraction form
    80.85/121.23 = 26.71/x
  3. Step 3: Cross multiply
    80.85x = 121.23 × 26.71
  4. Step 4: Simplify right side
    80.85x = 3,238.05
  5. Step 5: Solve for x
    x = 3,238.05/80.85
  6. Step 6: Final answer
    x = 40.05

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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.