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Finding the Fourth Proportional to 5.11, 7.68 and 5.06

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Solution

The fourth proportional to 5.11, 7.68 and 5.06 is: 7.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.11 : 7.68 = 5.06 : x
  2. Step 2: Convert to fraction form
    5.11/7.68 = 5.06/x
  3. Step 3: Cross multiply
    5.11x = 7.68 × 5.06
  4. Step 4: Simplify right side
    5.11x = 38.86
  5. Step 5: Solve for x
    x = 38.86/5.11
  6. Step 6: Final answer
    x = 7.61

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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.