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Finding the Fourth Proportional to 80.26, 110.73 and 48.74

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Solution

The fourth proportional to 80.26, 110.73 and 48.74 is: 67.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.26 : 110.73 = 48.74 : x
  2. Step 2: Convert to fraction form
    80.26/110.73 = 48.74/x
  3. Step 3: Cross multiply
    80.26x = 110.73 × 48.74
  4. Step 4: Simplify right side
    80.26x = 5,396.98
  5. Step 5: Solve for x
    x = 5,396.98/80.26
  6. Step 6: Final answer
    x = 67.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.