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Finding the Fourth Proportional to 61.11, 91.57 and 40.75

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Solution

The fourth proportional to 61.11, 91.57 and 40.75 is: 61.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 91.57 = 40.75 : x
  2. Step 2: Convert to fraction form
    61.11/91.57 = 40.75/x
  3. Step 3: Cross multiply
    61.11x = 91.57 × 40.75
  4. Step 4: Simplify right side
    61.11x = 3,731.02
  5. Step 5: Solve for x
    x = 3,731.02/61.11
  6. Step 6: Final answer
    x = 61.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.