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Finding the Fourth Proportional to 80.81, 120.56 and 80.21

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Solution

The fourth proportional to 80.81, 120.56 and 80.21 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 120.56 = 80.21 : x
  2. Step 2: Convert to fraction form
    80.81/120.56 = 80.21/x
  3. Step 3: Cross multiply
    80.81x = 120.56 × 80.21
  4. Step 4: Simplify right side
    80.81x = 9,669.72
  5. Step 5: Solve for x
    x = 9,669.72/80.81
  6. Step 6: Final answer
    x = 119.66

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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.