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Finding the Fourth Proportional to 22.48, 30.82 and 22.16

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Solution

The fourth proportional to 22.48, 30.82 and 22.16 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.48 : 30.82 = 22.16 : x
  2. Step 2: Convert to fraction form
    22.48/30.82 = 22.16/x
  3. Step 3: Cross multiply
    22.48x = 30.82 × 22.16
  4. Step 4: Simplify right side
    22.48x = 682.97
  5. Step 5: Solve for x
    x = 682.97/22.48
  6. Step 6: Final answer
    x = 30.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.