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Finding the Fourth Proportional to 24.09, 33.19 and 19.23

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Solution

The fourth proportional to 24.09, 33.19 and 19.23 is: 26.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.09 : 33.19 = 19.23 : x
  2. Step 2: Convert to fraction form
    24.09/33.19 = 19.23/x
  3. Step 3: Cross multiply
    24.09x = 33.19 × 19.23
  4. Step 4: Simplify right side
    24.09x = 638.24
  5. Step 5: Solve for x
    x = 638.24/24.09
  6. Step 6: Final answer
    x = 26.49

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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.