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Finding the Fourth Proportional to 80.90, 120.36 and 80.63

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Solution

The fourth proportional to 80.90, 120.36 and 80.63 is: 119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.90 : 120.36 = 80.63 : x
  2. Step 2: Convert to fraction form
    80.90/120.36 = 80.63/x
  3. Step 3: Cross multiply
    80.90x = 120.36 × 80.63
  4. Step 4: Simplify right side
    80.90x = 9,704.63
  5. Step 5: Solve for x
    x = 9,704.63/80.90
  6. Step 6: Final answer
    x = 119.96

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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.