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Finding the Fourth Proportional to 19.23, 28.80 and 12.82

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Solution

The fourth proportional to 19.23, 28.80 and 12.82 is: 19.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.23 : 28.80 = 12.82 : x
  2. Step 2: Convert to fraction form
    19.23/28.80 = 12.82/x
  3. Step 3: Cross multiply
    19.23x = 28.80 × 12.82
  4. Step 4: Simplify right side
    19.23x = 369.15
  5. Step 5: Solve for x
    x = 369.15/19.23
  6. Step 6: Final answer
    x = 19.20

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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.