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Finding the Fourth Proportional to 31.74, 43.78 and 22.03

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Solution

The fourth proportional to 31.74, 43.78 and 22.03 is: 30.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 43.78 = 22.03 : x
  2. Step 2: Convert to fraction form
    31.74/43.78 = 22.03/x
  3. Step 3: Cross multiply
    31.74x = 43.78 × 22.03
  4. Step 4: Simplify right side
    31.74x = 964.47
  5. Step 5: Solve for x
    x = 964.47/31.74
  6. Step 6: Final answer
    x = 30.39

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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.