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Finding the Fourth Proportional to 6.13, 9.20 and 2.71

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Solution

The fourth proportional to 6.13, 9.20 and 2.71 is: 4.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 9.20 = 2.71 : x
  2. Step 2: Convert to fraction form
    6.13/9.20 = 2.71/x
  3. Step 3: Cross multiply
    6.13x = 9.20 × 2.71
  4. Step 4: Simplify right side
    6.13x = 24.93
  5. Step 5: Solve for x
    x = 24.93/6.13
  6. Step 6: Final answer
    x = 4.07

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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.