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Finding the Fourth Proportional to 22.26, 30.72 and 15.78

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Solution

The fourth proportional to 22.26, 30.72 and 15.78 is: 21.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.26 : 30.72 = 15.78 : x
  2. Step 2: Convert to fraction form
    22.26/30.72 = 15.78/x
  3. Step 3: Cross multiply
    22.26x = 30.72 × 15.78
  4. Step 4: Simplify right side
    22.26x = 484.76
  5. Step 5: Solve for x
    x = 484.76/22.26
  6. Step 6: Final answer
    x = 21.78

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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.