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Finding the Fourth Proportional to 61.72, 85.19 and 36.83

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Solution

The fourth proportional to 61.72, 85.19 and 36.83 is: 50.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.72 : 85.19 = 36.83 : x
  2. Step 2: Convert to fraction form
    61.72/85.19 = 36.83/x
  3. Step 3: Cross multiply
    61.72x = 85.19 × 36.83
  4. Step 4: Simplify right side
    61.72x = 3,137.36
  5. Step 5: Solve for x
    x = 3,137.36/61.72
  6. Step 6: Final answer
    x = 50.84

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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.