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Finding the Fourth Proportional to 79.49, 119.22 and 30.73

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Solution

The fourth proportional to 79.49, 119.22 and 30.73 is: 46.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.49 : 119.22 = 30.73 : x
  2. Step 2: Convert to fraction form
    79.49/119.22 = 30.73/x
  3. Step 3: Cross multiply
    79.49x = 119.22 × 30.73
  4. Step 4: Simplify right side
    79.49x = 3,663.63
  5. Step 5: Solve for x
    x = 3,663.63/79.49
  6. Step 6: Final answer
    x = 46.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.