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Finding the Fourth Proportional to 6.14, 9.19 and 5.96

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Solution

The fourth proportional to 6.14, 9.19 and 5.96 is: 8.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.14 : 9.19 = 5.96 : x
  2. Step 2: Convert to fraction form
    6.14/9.19 = 5.96/x
  3. Step 3: Cross multiply
    6.14x = 9.19 × 5.96
  4. Step 4: Simplify right side
    6.14x = 54.78
  5. Step 5: Solve for x
    x = 54.78/6.14
  6. Step 6: Final answer
    x = 8.93

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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.