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Finding the Fourth Proportional to 31.98, 44.10 and 22.32

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Solution

The fourth proportional to 31.98, 44.10 and 22.32 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.98 : 44.10 = 22.32 : x
  2. Step 2: Convert to fraction form
    31.98/44.10 = 22.32/x
  3. Step 3: Cross multiply
    31.98x = 44.10 × 22.32
  4. Step 4: Simplify right side
    31.98x = 984.31
  5. Step 5: Solve for x
    x = 984.31/31.98
  6. Step 6: Final answer
    x = 30.78

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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.