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Finding the Fourth Proportional to 16.73, 22.91 and 16.05

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Solution

The fourth proportional to 16.73, 22.91 and 16.05 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 22.91 = 16.05 : x
  2. Step 2: Convert to fraction form
    16.73/22.91 = 16.05/x
  3. Step 3: Cross multiply
    16.73x = 22.91 × 16.05
  4. Step 4: Simplify right side
    16.73x = 367.75
  5. Step 5: Solve for x
    x = 367.75/16.73
  6. Step 6: Final answer
    x = 21.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.