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Finding the Fourth Proportional to 31.35, 43.24 and 20.42

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Solution

The fourth proportional to 31.35, 43.24 and 20.42 is: 28.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.35 : 43.24 = 20.42 : x
  2. Step 2: Convert to fraction form
    31.35/43.24 = 20.42/x
  3. Step 3: Cross multiply
    31.35x = 43.24 × 20.42
  4. Step 4: Simplify right side
    31.35x = 882.96
  5. Step 5: Solve for x
    x = 882.96/31.35
  6. Step 6: Final answer
    x = 28.16

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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.