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Finding the Fourth Proportional to 16.97, 25.40 and 16.67

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Solution

The fourth proportional to 16.97, 25.40 and 16.67 is: 24.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.97 : 25.40 = 16.67 : x
  2. Step 2: Convert to fraction form
    16.97/25.40 = 16.67/x
  3. Step 3: Cross multiply
    16.97x = 25.40 × 16.67
  4. Step 4: Simplify right side
    16.97x = 423.52
  5. Step 5: Solve for x
    x = 423.52/16.97
  6. Step 6: Final answer
    x = 24.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.