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Finding the Fourth Proportional to 16.89, 23.41 and 16.01

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Solution

The fourth proportional to 16.89, 23.41 and 16.01 is: 22.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.89 : 23.41 = 16.01 : x
  2. Step 2: Convert to fraction form
    16.89/23.41 = 16.01/x
  3. Step 3: Cross multiply
    16.89x = 23.41 × 16.01
  4. Step 4: Simplify right side
    16.89x = 374.78
  5. Step 5: Solve for x
    x = 374.78/16.89
  6. Step 6: Final answer
    x = 22.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.