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Finding the Fourth Proportional to 81.63, 122.72 and 63.68

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Solution

The fourth proportional to 81.63, 122.72 and 63.68 is: 95.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 122.72 = 63.68 : x
  2. Step 2: Convert to fraction form
    81.63/122.72 = 63.68/x
  3. Step 3: Cross multiply
    81.63x = 122.72 × 63.68
  4. Step 4: Simplify right side
    81.63x = 7,813.88
  5. Step 5: Solve for x
    x = 7,813.88/81.63
  6. Step 6: Final answer
    x = 95.72

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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.