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Finding the Fourth Proportional to 61.12, 91.70 and 37.09

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Solution

The fourth proportional to 61.12, 91.70 and 37.09 is: 55.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.12 : 91.70 = 37.09 : x
  2. Step 2: Convert to fraction form
    61.12/91.70 = 37.09/x
  3. Step 3: Cross multiply
    61.12x = 91.70 × 37.09
  4. Step 4: Simplify right side
    61.12x = 3,401.02
  5. Step 5: Solve for x
    x = 3,401.02/61.12
  6. Step 6: Final answer
    x = 55.65

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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.