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Finding the Fourth Proportional to 22.78, 34.16 and 7.56

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Solution

The fourth proportional to 22.78, 34.16 and 7.56 is: 11.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 34.16 = 7.56 : x
  2. Step 2: Convert to fraction form
    22.78/34.16 = 7.56/x
  3. Step 3: Cross multiply
    22.78x = 34.16 × 7.56
  4. Step 4: Simplify right side
    22.78x = 258.27
  5. Step 5: Solve for x
    x = 258.27/22.78
  6. Step 6: Final answer
    x = 11.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.