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Finding the Fourth Proportional to 22.65, 33.89 and 19.26

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Solution

The fourth proportional to 22.65, 33.89 and 19.26 is: 28.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.65 : 33.89 = 19.26 : x
  2. Step 2: Convert to fraction form
    22.65/33.89 = 19.26/x
  3. Step 3: Cross multiply
    22.65x = 33.89 × 19.26
  4. Step 4: Simplify right side
    22.65x = 652.63
  5. Step 5: Solve for x
    x = 652.63/22.65
  6. Step 6: Final answer
    x = 28.81

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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.