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Finding the Fourth Proportional to 61.15, 91.61 and 35.09

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Solution

The fourth proportional to 61.15, 91.61 and 35.09 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.15 : 91.61 = 35.09 : x
  2. Step 2: Convert to fraction form
    61.15/91.61 = 35.09/x
  3. Step 3: Cross multiply
    61.15x = 91.61 × 35.09
  4. Step 4: Simplify right side
    61.15x = 3,214.13
  5. Step 5: Solve for x
    x = 3,214.13/61.15
  6. Step 6: Final answer
    x = 52.56

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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.