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Finding the Fourth Proportional to 7.07, 9.70 and 6.35

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Solution

The fourth proportional to 7.07, 9.70 and 6.35 is: 8.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 9.70 = 6.35 : x
  2. Step 2: Convert to fraction form
    7.07/9.70 = 6.35/x
  3. Step 3: Cross multiply
    7.07x = 9.70 × 6.35
  4. Step 4: Simplify right side
    7.07x = 61.60
  5. Step 5: Solve for x
    x = 61.60/7.07
  6. Step 6: Final answer
    x = 8.71

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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.