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Finding the Fourth Proportional to 80.24, 110.80 and 50.79

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Solution

The fourth proportional to 80.24, 110.80 and 50.79 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.24 : 110.80 = 50.79 : x
  2. Step 2: Convert to fraction form
    80.24/110.80 = 50.79/x
  3. Step 3: Cross multiply
    80.24x = 110.80 × 50.79
  4. Step 4: Simplify right side
    80.24x = 5,626.72
  5. Step 5: Solve for x
    x = 5,626.72/80.24
  6. Step 6: Final answer
    x = 70.13

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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.