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Finding the Fourth Proportional to 22.54, 33.78 and 19.52

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Solution

The fourth proportional to 22.54, 33.78 and 19.52 is: 29.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 33.78 = 19.52 : x
  2. Step 2: Convert to fraction form
    22.54/33.78 = 19.52/x
  3. Step 3: Cross multiply
    22.54x = 33.78 × 19.52
  4. Step 4: Simplify right side
    22.54x = 659.39
  5. Step 5: Solve for x
    x = 659.39/22.54
  6. Step 6: Final answer
    x = 29.25

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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.