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Finding the Fourth Proportional to 33.82, 46.64 and 24.53

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Solution

The fourth proportional to 33.82, 46.64 and 24.53 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 46.64 = 24.53 : x
  2. Step 2: Convert to fraction form
    33.82/46.64 = 24.53/x
  3. Step 3: Cross multiply
    33.82x = 46.64 × 24.53
  4. Step 4: Simplify right side
    33.82x = 1,143.91
  5. Step 5: Solve for x
    x = 1,143.91/33.82
  6. Step 6: Final answer
    x = 33.83

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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.