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Finding the Fourth Proportional to 6.55, 9.82 and 2.27

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Solution

The fourth proportional to 6.55, 9.82 and 2.27 is: 3.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.55 : 9.82 = 2.27 : x
  2. Step 2: Convert to fraction form
    6.55/9.82 = 2.27/x
  3. Step 3: Cross multiply
    6.55x = 9.82 × 2.27
  4. Step 4: Simplify right side
    6.55x = 22.29
  5. Step 5: Solve for x
    x = 22.29/6.55
  6. Step 6: Final answer
    x = 3.40

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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.