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Finding the Fourth Proportional to 33.05, 49.23 and 31.52

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Solution

The fourth proportional to 33.05, 49.23 and 31.52 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 49.23 = 31.52 : x
  2. Step 2: Convert to fraction form
    33.05/49.23 = 31.52/x
  3. Step 3: Cross multiply
    33.05x = 49.23 × 31.52
  4. Step 4: Simplify right side
    33.05x = 1,551.73
  5. Step 5: Solve for x
    x = 1,551.73/33.05
  6. Step 6: Final answer
    x = 46.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.