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Finding the Fourth Proportional to 35.67, 49.22 and 20.91

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Solution

The fourth proportional to 35.67, 49.22 and 20.91 is: 28.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.67 : 49.22 = 20.91 : x
  2. Step 2: Convert to fraction form
    35.67/49.22 = 20.91/x
  3. Step 3: Cross multiply
    35.67x = 49.22 × 20.91
  4. Step 4: Simplify right side
    35.67x = 1,029.09
  5. Step 5: Solve for x
    x = 1,029.09/35.67
  6. Step 6: Final answer
    x = 28.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.