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Finding the Fourth Proportional to 33.78, 46.54 and 23.41

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Solution

The fourth proportional to 33.78, 46.54 and 23.41 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 46.54 = 23.41 : x
  2. Step 2: Convert to fraction form
    33.78/46.54 = 23.41/x
  3. Step 3: Cross multiply
    33.78x = 46.54 × 23.41
  4. Step 4: Simplify right side
    33.78x = 1,089.33
  5. Step 5: Solve for x
    x = 1,089.33/33.78
  6. Step 6: Final answer
    x = 32.25

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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.