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Finding the Fourth Proportional to 82.04, 122.43 and 72.95

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Solution

The fourth proportional to 82.04, 122.43 and 72.95 is: 108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.04 : 122.43 = 72.95 : x
  2. Step 2: Convert to fraction form
    82.04/122.43 = 72.95/x
  3. Step 3: Cross multiply
    82.04x = 122.43 × 72.95
  4. Step 4: Simplify right side
    82.04x = 8,930.90
  5. Step 5: Solve for x
    x = 8,930.90/82.04
  6. Step 6: Final answer
    x = 108.86

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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.