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Finding the Fourth Proportional to 3.61, 5.40 and 3.22

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Solution

The fourth proportional to 3.61, 5.40 and 3.22 is: 4.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 5.40 = 3.22 : x
  2. Step 2: Convert to fraction form
    3.61/5.40 = 3.22/x
  3. Step 3: Cross multiply
    3.61x = 5.40 × 3.22
  4. Step 4: Simplify right side
    3.61x = 17.37
  5. Step 5: Solve for x
    x = 17.37/3.61
  6. Step 6: Final answer
    x = 4.81

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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.