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Finding the Fourth Proportional to 33.91, 46.82 and 23.02

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Solution

The fourth proportional to 33.91, 46.82 and 23.02 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.91 : 46.82 = 23.02 : x
  2. Step 2: Convert to fraction form
    33.91/46.82 = 23.02/x
  3. Step 3: Cross multiply
    33.91x = 46.82 × 23.02
  4. Step 4: Simplify right side
    33.91x = 1,077.74
  5. Step 5: Solve for x
    x = 1,077.74/33.91
  6. Step 6: Final answer
    x = 31.78

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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.