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Finding the Fourth Proportional to 16.57, 22.87 and 9.67

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Solution

The fourth proportional to 16.57, 22.87 and 9.67 is: 13.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.57 : 22.87 = 9.67 : x
  2. Step 2: Convert to fraction form
    16.57/22.87 = 9.67/x
  3. Step 3: Cross multiply
    16.57x = 22.87 × 9.67
  4. Step 4: Simplify right side
    16.57x = 221.14
  5. Step 5: Solve for x
    x = 221.14/16.57
  6. Step 6: Final answer
    x = 13.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.