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Finding the Fourth Proportional to 33.65, 50.47 and 31.97

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Solution

The fourth proportional to 33.65, 50.47 and 31.97 is: 47.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.65 : 50.47 = 31.97 : x
  2. Step 2: Convert to fraction form
    33.65/50.47 = 31.97/x
  3. Step 3: Cross multiply
    33.65x = 50.47 × 31.97
  4. Step 4: Simplify right side
    33.65x = 1,613.19
  5. Step 5: Solve for x
    x = 1,613.19/33.65
  6. Step 6: Final answer
    x = 47.95

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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.