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Finding the Fourth Proportional to 61.34, 91.97 and 20.73

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Solution

The fourth proportional to 61.34, 91.97 and 20.73 is: 31.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 91.97 = 20.73 : x
  2. Step 2: Convert to fraction form
    61.34/91.97 = 20.73/x
  3. Step 3: Cross multiply
    61.34x = 91.97 × 20.73
  4. Step 4: Simplify right side
    61.34x = 1,906.43
  5. Step 5: Solve for x
    x = 1,906.43/61.34
  6. Step 6: Final answer
    x = 31.08

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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.