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Finding the Fourth Proportional to 9.44, 13.06 and 8.24

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Solution

The fourth proportional to 9.44, 13.06 and 8.24 is: 11.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.44 : 13.06 = 8.24 : x
  2. Step 2: Convert to fraction form
    9.44/13.06 = 8.24/x
  3. Step 3: Cross multiply
    9.44x = 13.06 × 8.24
  4. Step 4: Simplify right side
    9.44x = 107.61
  5. Step 5: Solve for x
    x = 107.61/9.44
  6. Step 6: Final answer
    x = 11.40

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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.