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Finding the Fourth Proportional to 80.44, 111.00 and 49.34

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Solution

The fourth proportional to 80.44, 111.00 and 49.34 is: 68.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 111.00 = 49.34 : x
  2. Step 2: Convert to fraction form
    80.44/111.00 = 49.34/x
  3. Step 3: Cross multiply
    80.44x = 111.00 × 49.34
  4. Step 4: Simplify right side
    80.44x = 5,477.20
  5. Step 5: Solve for x
    x = 5,477.20/80.44
  6. Step 6: Final answer
    x = 68.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.