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Finding the Fourth Proportional to 22.49, 33.75 and 13.48

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Solution

The fourth proportional to 22.49, 33.75 and 13.48 is: 20.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 33.75 = 13.48 : x
  2. Step 2: Convert to fraction form
    22.49/33.75 = 13.48/x
  3. Step 3: Cross multiply
    22.49x = 33.75 × 13.48
  4. Step 4: Simplify right side
    22.49x = 454.87
  5. Step 5: Solve for x
    x = 454.87/22.49
  6. Step 6: Final answer
    x = 20.22

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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.