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Finding the Fourth Proportional to 37.76, 52.11 and 22.21

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Solution

The fourth proportional to 37.76, 52.11 and 22.21 is: 30.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 52.11 = 22.21 : x
  2. Step 2: Convert to fraction form
    37.76/52.11 = 22.21/x
  3. Step 3: Cross multiply
    37.76x = 52.11 × 22.21
  4. Step 4: Simplify right side
    37.76x = 1,157.25
  5. Step 5: Solve for x
    x = 1,157.25/37.76
  6. Step 6: Final answer
    x = 30.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.