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Finding the Fourth Proportional to 37.72, 52.06 and 21.97

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Solution

The fourth proportional to 37.72, 52.06 and 21.97 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.72 : 52.06 = 21.97 : x
  2. Step 2: Convert to fraction form
    37.72/52.06 = 21.97/x
  3. Step 3: Cross multiply
    37.72x = 52.06 × 21.97
  4. Step 4: Simplify right side
    37.72x = 1,143.76
  5. Step 5: Solve for x
    x = 1,143.76/37.72
  6. Step 6: Final answer
    x = 30.32

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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.