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Finding the Fourth Proportional to 22.69, 31.26 and 22.02

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Solution

The fourth proportional to 22.69, 31.26 and 22.02 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 31.26 = 22.02 : x
  2. Step 2: Convert to fraction form
    22.69/31.26 = 22.02/x
  3. Step 3: Cross multiply
    22.69x = 31.26 × 22.02
  4. Step 4: Simplify right side
    22.69x = 688.35
  5. Step 5: Solve for x
    x = 688.35/22.69
  6. Step 6: Final answer
    x = 30.34

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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.