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Finding the Fourth Proportional to 11.57, 17.35 and 7.07

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Solution

The fourth proportional to 11.57, 17.35 and 7.07 is: 10.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 17.35 = 7.07 : x
  2. Step 2: Convert to fraction form
    11.57/17.35 = 7.07/x
  3. Step 3: Cross multiply
    11.57x = 17.35 × 7.07
  4. Step 4: Simplify right side
    11.57x = 122.56
  5. Step 5: Solve for x
    x = 122.56/11.57
  6. Step 6: Final answer
    x = 10.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.