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Finding the Fourth Proportional to 31.26, 43.12 and 22.06

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Solution

The fourth proportional to 31.26, 43.12 and 22.06 is: 30.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.26 : 43.12 = 22.06 : x
  2. Step 2: Convert to fraction form
    31.26/43.12 = 22.06/x
  3. Step 3: Cross multiply
    31.26x = 43.12 × 22.06
  4. Step 4: Simplify right side
    31.26x = 951.23
  5. Step 5: Solve for x
    x = 951.23/31.26
  6. Step 6: Final answer
    x = 30.43

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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.