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Finding the Fourth Proportional to 22.89, 31.62 and 22.34

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Solution

The fourth proportional to 22.89, 31.62 and 22.34 is: 30.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.89 : 31.62 = 22.34 : x
  2. Step 2: Convert to fraction form
    22.89/31.62 = 22.34/x
  3. Step 3: Cross multiply
    22.89x = 31.62 × 22.34
  4. Step 4: Simplify right side
    22.89x = 706.55
  5. Step 5: Solve for x
    x = 706.55/22.89
  6. Step 6: Final answer
    x = 30.86

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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.