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Finding the Fourth Proportional to 34.05, 50.97 and 31.83

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Solution

The fourth proportional to 34.05, 50.97 and 31.83 is: 47.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 50.97 = 31.83 : x
  2. Step 2: Convert to fraction form
    34.05/50.97 = 31.83/x
  3. Step 3: Cross multiply
    34.05x = 50.97 × 31.83
  4. Step 4: Simplify right side
    34.05x = 1,622.38
  5. Step 5: Solve for x
    x = 1,622.38/34.05
  6. Step 6: Final answer
    x = 47.65

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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.