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Finding the Fourth Proportional to 80.42, 120.65 and 41.90

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Solution

The fourth proportional to 80.42, 120.65 and 41.90 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 120.65 = 41.90 : x
  2. Step 2: Convert to fraction form
    80.42/120.65 = 41.90/x
  3. Step 3: Cross multiply
    80.42x = 120.65 × 41.90
  4. Step 4: Simplify right side
    80.42x = 5,054.42
  5. Step 5: Solve for x
    x = 5,054.42/80.42
  6. Step 6: Final answer
    x = 62.85

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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.