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Finding the Fourth Proportional to 24.02, 33.09 and 19.84

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Solution

The fourth proportional to 24.02, 33.09 and 19.84 is: 27.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 33.09 = 19.84 : x
  2. Step 2: Convert to fraction form
    24.02/33.09 = 19.84/x
  3. Step 3: Cross multiply
    24.02x = 33.09 × 19.84
  4. Step 4: Simplify right side
    24.02x = 656.63
  5. Step 5: Solve for x
    x = 656.63/24.02
  6. Step 6: Final answer
    x = 27.34

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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.