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Finding the Fourth Proportional to 61.92, 85.48 and 36.08

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Solution

The fourth proportional to 61.92, 85.48 and 36.08 is: 49.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.92 : 85.48 = 36.08 : x
  2. Step 2: Convert to fraction form
    61.92/85.48 = 36.08/x
  3. Step 3: Cross multiply
    61.92x = 85.48 × 36.08
  4. Step 4: Simplify right side
    61.92x = 3,084.12
  5. Step 5: Solve for x
    x = 3,084.12/61.92
  6. Step 6: Final answer
    x = 49.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.