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Finding the Fourth Proportional to 80.05, 110.46 and 48.97

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Solution

The fourth proportional to 80.05, 110.46 and 48.97 is: 67.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.05 : 110.46 = 48.97 : x
  2. Step 2: Convert to fraction form
    80.05/110.46 = 48.97/x
  3. Step 3: Cross multiply
    80.05x = 110.46 × 48.97
  4. Step 4: Simplify right side
    80.05x = 5,409.23
  5. Step 5: Solve for x
    x = 5,409.23/80.05
  6. Step 6: Final answer
    x = 67.57

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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.