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Finding the Fourth Proportional to 33.94, 50.67 and 31.57

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Solution

The fourth proportional to 33.94, 50.67 and 31.57 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.94 : 50.67 = 31.57 : x
  2. Step 2: Convert to fraction form
    33.94/50.67 = 31.57/x
  3. Step 3: Cross multiply
    33.94x = 50.67 × 31.57
  4. Step 4: Simplify right side
    33.94x = 1,599.41
  5. Step 5: Solve for x
    x = 1,599.41/33.94
  6. Step 6: Final answer
    x = 47.12

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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.