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Finding the Fourth Proportional to 19.20, 28.64 and 16.80

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Solution

The fourth proportional to 19.20, 28.64 and 16.80 is: 25.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.20 : 28.64 = 16.80 : x
  2. Step 2: Convert to fraction form
    19.20/28.64 = 16.80/x
  3. Step 3: Cross multiply
    19.20x = 28.64 × 16.80
  4. Step 4: Simplify right side
    19.20x = 481.15
  5. Step 5: Solve for x
    x = 481.15/19.20
  6. Step 6: Final answer
    x = 25.06

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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.