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Finding the Fourth Proportional to 23.14, 31.96 and 22.24

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Solution

The fourth proportional to 23.14, 31.96 and 22.24 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.14 : 31.96 = 22.24 : x
  2. Step 2: Convert to fraction form
    23.14/31.96 = 22.24/x
  3. Step 3: Cross multiply
    23.14x = 31.96 × 22.24
  4. Step 4: Simplify right side
    23.14x = 710.79
  5. Step 5: Solve for x
    x = 710.79/23.14
  6. Step 6: Final answer
    x = 30.72

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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.