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Finding the Fourth Proportional to 33.34, 50.08 and 31.80

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Solution

The fourth proportional to 33.34, 50.08 and 31.80 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.34 : 50.08 = 31.80 : x
  2. Step 2: Convert to fraction form
    33.34/50.08 = 31.80/x
  3. Step 3: Cross multiply
    33.34x = 50.08 × 31.80
  4. Step 4: Simplify right side
    33.34x = 1,592.54
  5. Step 5: Solve for x
    x = 1,592.54/33.34
  6. Step 6: Final answer
    x = 47.77

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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.