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Finding the Fourth Proportional to 81.90, 122.19 and 72.78

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Solution

The fourth proportional to 81.90, 122.19 and 72.78 is: 108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.90 : 122.19 = 72.78 : x
  2. Step 2: Convert to fraction form
    81.90/122.19 = 72.78/x
  3. Step 3: Cross multiply
    81.90x = 122.19 × 72.78
  4. Step 4: Simplify right side
    81.90x = 8,892.99
  5. Step 5: Solve for x
    x = 8,892.99/81.90
  6. Step 6: Final answer
    x = 108.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.