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Finding the Fourth Proportional to 33.72, 46.56 and 22.80

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Solution

The fourth proportional to 33.72, 46.56 and 22.80 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.72 : 46.56 = 22.80 : x
  2. Step 2: Convert to fraction form
    33.72/46.56 = 22.80/x
  3. Step 3: Cross multiply
    33.72x = 46.56 × 22.80
  4. Step 4: Simplify right side
    33.72x = 1,061.57
  5. Step 5: Solve for x
    x = 1,061.57/33.72
  6. Step 6: Final answer
    x = 31.48

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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.