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Finding the Fourth Proportional to 76.82, 106.17 and 72.72

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Solution

The fourth proportional to 76.82, 106.17 and 72.72 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 106.17 = 72.72 : x
  2. Step 2: Convert to fraction form
    76.82/106.17 = 72.72/x
  3. Step 3: Cross multiply
    76.82x = 106.17 × 72.72
  4. Step 4: Simplify right side
    76.82x = 7,720.15
  5. Step 5: Solve for x
    x = 7,720.15/76.82
  6. Step 6: Final answer
    x = 100.50

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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.