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Finding the Fourth Proportional to 23.87, 32.96 and 16.09

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Solution

The fourth proportional to 23.87, 32.96 and 16.09 is: 22.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.87 : 32.96 = 16.09 : x
  2. Step 2: Convert to fraction form
    23.87/32.96 = 16.09/x
  3. Step 3: Cross multiply
    23.87x = 32.96 × 16.09
  4. Step 4: Simplify right side
    23.87x = 530.28
  5. Step 5: Solve for x
    x = 530.28/23.87
  6. Step 6: Final answer
    x = 22.21

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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.