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Finding the Fourth Proportional to 80.15, 119.59 and 74.42

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Solution

The fourth proportional to 80.15, 119.59 and 74.42 is: 111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.15 : 119.59 = 74.42 : x
  2. Step 2: Convert to fraction form
    80.15/119.59 = 74.42/x
  3. Step 3: Cross multiply
    80.15x = 119.59 × 74.42
  4. Step 4: Simplify right side
    80.15x = 8,899.29
  5. Step 5: Solve for x
    x = 8,899.29/80.15
  6. Step 6: Final answer
    x = 111.03

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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.