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Finding the Fourth Proportional to 20.80, 28.62 and 16.48

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Solution

The fourth proportional to 20.80, 28.62 and 16.48 is: 22.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.80 : 28.62 = 16.48 : x
  2. Step 2: Convert to fraction form
    20.80/28.62 = 16.48/x
  3. Step 3: Cross multiply
    20.80x = 28.62 × 16.48
  4. Step 4: Simplify right side
    20.80x = 471.66
  5. Step 5: Solve for x
    x = 471.66/20.80
  6. Step 6: Final answer
    x = 22.68

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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.