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Finding the Fourth Proportional to 6.10, 9.14 and 2.29

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Solution

The fourth proportional to 6.10, 9.14 and 2.29 is: 3.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 9.14 = 2.29 : x
  2. Step 2: Convert to fraction form
    6.10/9.14 = 2.29/x
  3. Step 3: Cross multiply
    6.10x = 9.14 × 2.29
  4. Step 4: Simplify right side
    6.10x = 20.96
  5. Step 5: Solve for x
    x = 20.96/6.10
  6. Step 6: Final answer
    x = 3.44

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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.