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Finding the Fourth Proportional to 48.82, 67.42 and 34.24

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Solution

The fourth proportional to 48.82, 67.42 and 34.24 is: 47.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.82 : 67.42 = 34.24 : x
  2. Step 2: Convert to fraction form
    48.82/67.42 = 34.24/x
  3. Step 3: Cross multiply
    48.82x = 67.42 × 34.24
  4. Step 4: Simplify right side
    48.82x = 2,308.46
  5. Step 5: Solve for x
    x = 2,308.46/48.82
  6. Step 6: Final answer
    x = 47.29

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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.