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Finding the Fourth Proportional to 49.09, 67.67 and 32.69

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Solution

The fourth proportional to 49.09, 67.67 and 32.69 is: 45.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 67.67 = 32.69 : x
  2. Step 2: Convert to fraction form
    49.09/67.67 = 32.69/x
  3. Step 3: Cross multiply
    49.09x = 67.67 × 32.69
  4. Step 4: Simplify right side
    49.09x = 2,211.79
  5. Step 5: Solve for x
    x = 2,211.79/49.09
  6. Step 6: Final answer
    x = 45.06

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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.