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Finding the Fourth Proportional to 22.75, 31.34 and 22.12

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Solution

The fourth proportional to 22.75, 31.34 and 22.12 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 31.34 = 22.12 : x
  2. Step 2: Convert to fraction form
    22.75/31.34 = 22.12/x
  3. Step 3: Cross multiply
    22.75x = 31.34 × 22.12
  4. Step 4: Simplify right side
    22.75x = 693.22
  5. Step 5: Solve for x
    x = 693.22/22.75
  6. Step 6: Final answer
    x = 30.47

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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.