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Finding the Fourth Proportional to 80.52, 120.23 and 71.43

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Solution

The fourth proportional to 80.52, 120.23 and 71.43 is: 106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.52 : 120.23 = 71.43 : x
  2. Step 2: Convert to fraction form
    80.52/120.23 = 71.43/x
  3. Step 3: Cross multiply
    80.52x = 120.23 × 71.43
  4. Step 4: Simplify right side
    80.52x = 8,587.67
  5. Step 5: Solve for x
    x = 8,587.67/80.52
  6. Step 6: Final answer
    x = 106.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.