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Finding the Fourth Proportional to 80.83, 111.46 and 57.22

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Solution

The fourth proportional to 80.83, 111.46 and 57.22 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.83 : 111.46 = 57.22 : x
  2. Step 2: Convert to fraction form
    80.83/111.46 = 57.22/x
  3. Step 3: Cross multiply
    80.83x = 111.46 × 57.22
  4. Step 4: Simplify right side
    80.83x = 6,377.74
  5. Step 5: Solve for x
    x = 6,377.74/80.83
  6. Step 6: Final answer
    x = 78.90

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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.