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Finding the Fourth Proportional to 19.50, 26.89 and 19.09

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Solution

The fourth proportional to 19.50, 26.89 and 19.09 is: 26.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 26.89 = 19.09 : x
  2. Step 2: Convert to fraction form
    19.50/26.89 = 19.09/x
  3. Step 3: Cross multiply
    19.50x = 26.89 × 19.09
  4. Step 4: Simplify right side
    19.50x = 513.33
  5. Step 5: Solve for x
    x = 513.33/19.50
  6. Step 6: Final answer
    x = 26.32

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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.