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Finding the Fourth Proportional to 48.67, 67.12 and 33.94

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Solution

The fourth proportional to 48.67, 67.12 and 33.94 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.67 : 67.12 = 33.94 : x
  2. Step 2: Convert to fraction form
    48.67/67.12 = 33.94/x
  3. Step 3: Cross multiply
    48.67x = 67.12 × 33.94
  4. Step 4: Simplify right side
    48.67x = 2,278.05
  5. Step 5: Solve for x
    x = 2,278.05/48.67
  6. Step 6: Final answer
    x = 46.81

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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.