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Finding the Fourth Proportional to 9.78, 13.51 and 9.22

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Solution

The fourth proportional to 9.78, 13.51 and 9.22 is: 12.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.78 : 13.51 = 9.22 : x
  2. Step 2: Convert to fraction form
    9.78/13.51 = 9.22/x
  3. Step 3: Cross multiply
    9.78x = 13.51 × 9.22
  4. Step 4: Simplify right side
    9.78x = 124.54
  5. Step 5: Solve for x
    x = 124.54/9.78
  6. Step 6: Final answer
    x = 12.74

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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.