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Finding the Fourth Proportional to 61.27, 91.89 and 20.69

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Solution

The fourth proportional to 61.27, 91.89 and 20.69 is: 31.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.27 : 91.89 = 20.69 : x
  2. Step 2: Convert to fraction form
    61.27/91.89 = 20.69/x
  3. Step 3: Cross multiply
    61.27x = 91.89 × 20.69
  4. Step 4: Simplify right side
    61.27x = 1,900.74
  5. Step 5: Solve for x
    x = 1,900.74/61.27
  6. Step 6: Final answer
    x = 31.02

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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.