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Finding the Fourth Proportional to 80.26, 110.09 and 79.54

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Solution

The fourth proportional to 80.26, 110.09 and 79.54 is: 109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 110.09 = 79.54 : x
  2. Step 2: Convert to fraction form
    80.26/110.09 = 79.54/x
  3. Step 3: Cross multiply
    80.26x = 110.09 × 79.54
  4. Step 4: Simplify right side
    80.26x = 8,756.56
  5. Step 5: Solve for x
    x = 8,756.56/80.26
  6. Step 6: Final answer
    x = 109.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.