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Finding the Fourth Proportional to 16.33, 24.60 and 13.67

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Solution

The fourth proportional to 16.33, 24.60 and 13.67 is: 20.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.33 : 24.60 = 13.67 : x
  2. Step 2: Convert to fraction form
    16.33/24.60 = 13.67/x
  3. Step 3: Cross multiply
    16.33x = 24.60 × 13.67
  4. Step 4: Simplify right side
    16.33x = 336.34
  5. Step 5: Solve for x
    x = 336.34/16.33
  6. Step 6: Final answer
    x = 20.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.