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Finding the Fourth Proportional to 19.25, 28.84 and 8.96

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Solution

The fourth proportional to 19.25, 28.84 and 8.96 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.25 : 28.84 = 8.96 : x
  2. Step 2: Convert to fraction form
    19.25/28.84 = 8.96/x
  3. Step 3: Cross multiply
    19.25x = 28.84 × 8.96
  4. Step 4: Simplify right side
    19.25x = 258.26
  5. Step 5: Solve for x
    x = 258.26/19.25
  6. Step 6: Final answer
    x = 13.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.