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Finding the Fourth Proportional to 61.09, 91.67 and 24.56

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Solution

The fourth proportional to 61.09, 91.67 and 24.56 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.09 : 91.67 = 24.56 : x
  2. Step 2: Convert to fraction form
    61.09/91.67 = 24.56/x
  3. Step 3: Cross multiply
    61.09x = 91.67 × 24.56
  4. Step 4: Simplify right side
    61.09x = 2,251.02
  5. Step 5: Solve for x
    x = 2,251.02/61.09
  6. Step 6: Final answer
    x = 36.85

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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.