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Finding the Fourth Proportional to 33.49, 45.95 and 31.96

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Solution

The fourth proportional to 33.49, 45.95 and 31.96 is: 43.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.49 : 45.95 = 31.96 : x
  2. Step 2: Convert to fraction form
    33.49/45.95 = 31.96/x
  3. Step 3: Cross multiply
    33.49x = 45.95 × 31.96
  4. Step 4: Simplify right side
    33.49x = 1,468.56
  5. Step 5: Solve for x
    x = 1,468.56/33.49
  6. Step 6: Final answer
    x = 43.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.