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Finding the Fourth Proportional to 80.34, 119.82 and 74.94

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Solution

The fourth proportional to 80.34, 119.82 and 74.94 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 119.82 = 74.94 : x
  2. Step 2: Convert to fraction form
    80.34/119.82 = 74.94/x
  3. Step 3: Cross multiply
    80.34x = 119.82 × 74.94
  4. Step 4: Simplify right side
    80.34x = 8,979.31
  5. Step 5: Solve for x
    x = 8,979.31/80.34
  6. Step 6: Final answer
    x = 111.77

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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.