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Finding the Fourth Proportional to 80.19, 119.45 and 75.21

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Solution

The fourth proportional to 80.19, 119.45 and 75.21 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.19 : 119.45 = 75.21 : x
  2. Step 2: Convert to fraction form
    80.19/119.45 = 75.21/x
  3. Step 3: Cross multiply
    80.19x = 119.45 × 75.21
  4. Step 4: Simplify right side
    80.19x = 8,983.83
  5. Step 5: Solve for x
    x = 8,983.83/80.19
  6. Step 6: Final answer
    x = 112.03

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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.