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Finding the Fourth Proportional to 16.82, 23.00 and 16.55

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Solution

The fourth proportional to 16.82, 23.00 and 16.55 is: 22.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 23.00 = 16.55 : x
  2. Step 2: Convert to fraction form
    16.82/23.00 = 16.55/x
  3. Step 3: Cross multiply
    16.82x = 23.00 × 16.55
  4. Step 4: Simplify right side
    16.82x = 380.75
  5. Step 5: Solve for x
    x = 380.75/16.82
  6. Step 6: Final answer
    x = 22.64

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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.