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Finding the Fourth Proportional to 33.08, 49.70 and 31.21

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Solution

The fourth proportional to 33.08, 49.70 and 31.21 is: 46.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.08 : 49.70 = 31.21 : x
  2. Step 2: Convert to fraction form
    33.08/49.70 = 31.21/x
  3. Step 3: Cross multiply
    33.08x = 49.70 × 31.21
  4. Step 4: Simplify right side
    33.08x = 1,551.09
  5. Step 5: Solve for x
    x = 1,551.09/33.08
  6. Step 6: Final answer
    x = 46.90

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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.