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Finding the Fourth Proportional to 80.34, 119.68 and 80.19

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Solution

The fourth proportional to 80.34, 119.68 and 80.19 is: 119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 119.68 = 80.19 : x
  2. Step 2: Convert to fraction form
    80.34/119.68 = 80.19/x
  3. Step 3: Cross multiply
    80.34x = 119.68 × 80.19
  4. Step 4: Simplify right side
    80.34x = 9,596.94
  5. Step 5: Solve for x
    x = 9,596.94/80.34
  6. Step 6: Final answer
    x = 119.45

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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.