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Finding the Fourth Proportional to 24.29, 33.50 and 16.09

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Solution

The fourth proportional to 24.29, 33.50 and 16.09 is: 22.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.29 : 33.50 = 16.09 : x
  2. Step 2: Convert to fraction form
    24.29/33.50 = 16.09/x
  3. Step 3: Cross multiply
    24.29x = 33.50 × 16.09
  4. Step 4: Simplify right side
    24.29x = 539.02
  5. Step 5: Solve for x
    x = 539.02/24.29
  6. Step 6: Final answer
    x = 22.19

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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.