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Finding the Fourth Proportional to 8.44, 11.60 and 7.07

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Solution

The fourth proportional to 8.44, 11.60 and 7.07 is: 9.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 11.60 = 7.07 : x
  2. Step 2: Convert to fraction form
    8.44/11.60 = 7.07/x
  3. Step 3: Cross multiply
    8.44x = 11.60 × 7.07
  4. Step 4: Simplify right side
    8.44x = 82.01
  5. Step 5: Solve for x
    x = 82.01/8.44
  6. Step 6: Final answer
    x = 9.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.