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Finding the Fourth Proportional to 80.41, 120.86 and 37.69

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Solution

The fourth proportional to 80.41, 120.86 and 37.69 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.41 : 120.86 = 37.69 : x
  2. Step 2: Convert to fraction form
    80.41/120.86 = 37.69/x
  3. Step 3: Cross multiply
    80.41x = 120.86 × 37.69
  4. Step 4: Simplify right side
    80.41x = 4,555.02
  5. Step 5: Solve for x
    x = 4,555.02/80.41
  6. Step 6: Final answer
    x = 56.65

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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.