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Finding the Fourth Proportional to 33.89, 47.00 and 33.48

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Solution

The fourth proportional to 33.89, 47.00 and 33.48 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.89 : 47.00 = 33.48 : x
  2. Step 2: Convert to fraction form
    33.89/47.00 = 33.48/x
  3. Step 3: Cross multiply
    33.89x = 47.00 × 33.48
  4. Step 4: Simplify right side
    33.89x = 1,573.39
  5. Step 5: Solve for x
    x = 1,573.39/33.89
  6. Step 6: Final answer
    x = 46.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.