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Finding the Fourth Proportional to 80.23, 120.34 and 34.55

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Solution

The fourth proportional to 80.23, 120.34 and 34.55 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.23 : 120.34 = 34.55 : x
  2. Step 2: Convert to fraction form
    80.23/120.34 = 34.55/x
  3. Step 3: Cross multiply
    80.23x = 120.34 × 34.55
  4. Step 4: Simplify right side
    80.23x = 4,157.75
  5. Step 5: Solve for x
    x = 4,157.75/80.23
  6. Step 6: Final answer
    x = 51.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.