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Finding the Fourth Proportional to 3.54, 5.31 and 2.21

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Solution

The fourth proportional to 3.54, 5.31 and 2.21 is: 3.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 5.31 = 2.21 : x
  2. Step 2: Convert to fraction form
    3.54/5.31 = 2.21/x
  3. Step 3: Cross multiply
    3.54x = 5.31 × 2.21
  4. Step 4: Simplify right side
    3.54x = 11.71
  5. Step 5: Solve for x
    x = 11.71/3.54
  6. Step 6: Final answer
    x = 3.31

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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.