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Finding the Fourth Proportional to 22.26, 30.72 and 13.64

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Solution

The fourth proportional to 22.26, 30.72 and 13.64 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.26 : 30.72 = 13.64 : x
  2. Step 2: Convert to fraction form
    22.26/30.72 = 13.64/x
  3. Step 3: Cross multiply
    22.26x = 30.72 × 13.64
  4. Step 4: Simplify right side
    22.26x = 419.02
  5. Step 5: Solve for x
    x = 419.02/22.26
  6. Step 6: Final answer
    x = 18.82

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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.