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Finding the Fourth Proportional to 22.78, 31.46 and 15.49

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Solution

The fourth proportional to 22.78, 31.46 and 15.49 is: 21.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 31.46 = 15.49 : x
  2. Step 2: Convert to fraction form
    22.78/31.46 = 15.49/x
  3. Step 3: Cross multiply
    22.78x = 31.46 × 15.49
  4. Step 4: Simplify right side
    22.78x = 487.28
  5. Step 5: Solve for x
    x = 487.28/22.78
  6. Step 6: Final answer
    x = 21.39

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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.