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Finding the Fourth Proportional to 16.49, 24.65 and 13.23

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Solution

The fourth proportional to 16.49, 24.65 and 13.23 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.49 : 24.65 = 13.23 : x
  2. Step 2: Convert to fraction form
    16.49/24.65 = 13.23/x
  3. Step 3: Cross multiply
    16.49x = 24.65 × 13.23
  4. Step 4: Simplify right side
    16.49x = 326.05
  5. Step 5: Solve for x
    x = 326.05/16.49
  6. Step 6: Final answer
    x = 19.78

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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.