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Finding the Fourth Proportional to 33.23, 45.78 and 24.47

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Solution

The fourth proportional to 33.23, 45.78 and 24.47 is: 33.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.23 : 45.78 = 24.47 : x
  2. Step 2: Convert to fraction form
    33.23/45.78 = 24.47/x
  3. Step 3: Cross multiply
    33.23x = 45.78 × 24.47
  4. Step 4: Simplify right side
    33.23x = 1,120.01
  5. Step 5: Solve for x
    x = 1,120.01/33.23
  6. Step 6: Final answer
    x = 33.71

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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.