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Finding the Fourth Proportional to 7.07, 9.81 and 6.62

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Solution

The fourth proportional to 7.07, 9.81 and 6.62 is: 9.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 9.81 = 6.62 : x
  2. Step 2: Convert to fraction form
    7.07/9.81 = 6.62/x
  3. Step 3: Cross multiply
    7.07x = 9.81 × 6.62
  4. Step 4: Simplify right side
    7.07x = 64.94
  5. Step 5: Solve for x
    x = 64.94/7.07
  6. Step 6: Final answer
    x = 9.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.