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Finding the Fourth Proportional to 61.11, 91.94 and 37.08

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Solution

The fourth proportional to 61.11, 91.94 and 37.08 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 91.94 = 37.08 : x
  2. Step 2: Convert to fraction form
    61.11/91.94 = 37.08/x
  3. Step 3: Cross multiply
    61.11x = 91.94 × 37.08
  4. Step 4: Simplify right side
    61.11x = 3,408.95
  5. Step 5: Solve for x
    x = 3,408.95/61.11
  6. Step 6: Final answer
    x = 55.78

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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.