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Finding the Fourth Proportional to 67.31, 100.97 and 33.09

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Solution

The fourth proportional to 67.31, 100.97 and 33.09 is: 49.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.31 : 100.97 = 33.09 : x
  2. Step 2: Convert to fraction form
    67.31/100.97 = 33.09/x
  3. Step 3: Cross multiply
    67.31x = 100.97 × 33.09
  4. Step 4: Simplify right side
    67.31x = 3,341.10
  5. Step 5: Solve for x
    x = 3,341.10/67.31
  6. Step 6: Final answer
    x = 49.64

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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.