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Finding the Fourth Proportional to 31.74, 47.61 and 22.11

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Solution

The fourth proportional to 31.74, 47.61 and 22.11 is: 33.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.74 : 47.61 = 22.11 : x
  2. Step 2: Convert to fraction form
    31.74/47.61 = 22.11/x
  3. Step 3: Cross multiply
    31.74x = 47.61 × 22.11
  4. Step 4: Simplify right side
    31.74x = 1,052.60
  5. Step 5: Solve for x
    x = 1,052.60/31.74
  6. Step 6: Final answer
    x = 33.17

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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.