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Finding the Fourth Proportional to 16.69, 25.01 and 7.67

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Solution

The fourth proportional to 16.69, 25.01 and 7.67 is: 11.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.69 : 25.01 = 7.67 : x
  2. Step 2: Convert to fraction form
    16.69/25.01 = 7.67/x
  3. Step 3: Cross multiply
    16.69x = 25.01 × 7.67
  4. Step 4: Simplify right side
    16.69x = 191.66
  5. Step 5: Solve for x
    x = 191.66/16.69
  6. Step 6: Final answer
    x = 11.48

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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.