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Finding the Fourth Proportional to 31.74, 43.82 and 30.22

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Solution

The fourth proportional to 31.74, 43.82 and 30.22 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 43.82 = 30.22 : x
  2. Step 2: Convert to fraction form
    31.74/43.82 = 30.22/x
  3. Step 3: Cross multiply
    31.74x = 43.82 × 30.22
  4. Step 4: Simplify right side
    31.74x = 1,324.24
  5. Step 5: Solve for x
    x = 1,324.24/31.74
  6. Step 6: Final answer
    x = 41.72

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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.