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Finding the Fourth Proportional to 24.09, 33.23 and 16.33

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Solution

The fourth proportional to 24.09, 33.23 and 16.33 is: 22.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.09 : 33.23 = 16.33 : x
  2. Step 2: Convert to fraction form
    24.09/33.23 = 16.33/x
  3. Step 3: Cross multiply
    24.09x = 33.23 × 16.33
  4. Step 4: Simplify right side
    24.09x = 542.65
  5. Step 5: Solve for x
    x = 542.65/24.09
  6. Step 6: Final answer
    x = 22.53

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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.