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Finding the Fourth Proportional to 17.96, 26.80 and 16.54

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Solution

The fourth proportional to 17.96, 26.80 and 16.54 is: 24.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 26.80 = 16.54 : x
  2. Step 2: Convert to fraction form
    17.96/26.80 = 16.54/x
  3. Step 3: Cross multiply
    17.96x = 26.80 × 16.54
  4. Step 4: Simplify right side
    17.96x = 443.27
  5. Step 5: Solve for x
    x = 443.27/17.96
  6. Step 6: Final answer
    x = 24.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.