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Finding the Fourth Proportional to 17.54, 26.17 and 16.64

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Solution

The fourth proportional to 17.54, 26.17 and 16.64 is: 24.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.54 : 26.17 = 16.64 : x
  2. Step 2: Convert to fraction form
    17.54/26.17 = 16.64/x
  3. Step 3: Cross multiply
    17.54x = 26.17 × 16.64
  4. Step 4: Simplify right side
    17.54x = 435.47
  5. Step 5: Solve for x
    x = 435.47/17.54
  6. Step 6: Final answer
    x = 24.83

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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.