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Finding the Fourth Proportional to 19.12, 28.68 and 12.37

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Solution

The fourth proportional to 19.12, 28.68 and 12.37 is: 18.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.12 : 28.68 = 12.37 : x
  2. Step 2: Convert to fraction form
    19.12/28.68 = 12.37/x
  3. Step 3: Cross multiply
    19.12x = 28.68 × 12.37
  4. Step 4: Simplify right side
    19.12x = 354.63
  5. Step 5: Solve for x
    x = 354.63/19.12
  6. Step 6: Final answer
    x = 18.55

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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.