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Finding the Fourth Proportional to 80.74, 111.42 and 51.63

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Solution

The fourth proportional to 80.74, 111.42 and 51.63 is: 71.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.74 : 111.42 = 51.63 : x
  2. Step 2: Convert to fraction form
    80.74/111.42 = 51.63/x
  3. Step 3: Cross multiply
    80.74x = 111.42 × 51.63
  4. Step 4: Simplify right side
    80.74x = 5,751.80
  5. Step 5: Solve for x
    x = 5,751.80/80.74
  6. Step 6: Final answer
    x = 71.24

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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.