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Finding the Fourth Proportional to 80.68, 121.04 and 26.58

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Solution

The fourth proportional to 80.68, 121.04 and 26.58 is: 39.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 121.04 = 26.58 : x
  2. Step 2: Convert to fraction form
    80.68/121.04 = 26.58/x
  3. Step 3: Cross multiply
    80.68x = 121.04 × 26.58
  4. Step 4: Simplify right side
    80.68x = 3,217.13
  5. Step 5: Solve for x
    x = 3,217.13/80.68
  6. Step 6: Final answer
    x = 39.87

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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.