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Finding the Fourth Proportional to 8.35, 11.51 and 7.27

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Solution

The fourth proportional to 8.35, 11.51 and 7.27 is: 10.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.35 : 11.51 = 7.27 : x
  2. Step 2: Convert to fraction form
    8.35/11.51 = 7.27/x
  3. Step 3: Cross multiply
    8.35x = 11.51 × 7.27
  4. Step 4: Simplify right side
    8.35x = 83.68
  5. Step 5: Solve for x
    x = 83.68/8.35
  6. Step 6: Final answer
    x = 10.02

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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.