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Finding the Fourth Proportional to 8.43, 11.64 and 7.07

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Solution

The fourth proportional to 8.43, 11.64 and 7.07 is: 9.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.43 : 11.64 = 7.07 : x
  2. Step 2: Convert to fraction form
    8.43/11.64 = 7.07/x
  3. Step 3: Cross multiply
    8.43x = 11.64 × 7.07
  4. Step 4: Simplify right side
    8.43x = 82.24
  5. Step 5: Solve for x
    x = 82.24/8.43
  6. Step 6: Final answer
    x = 9.76

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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.