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Finding the Fourth Proportional to 82.73, 114.24 and 72.48

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Solution

The fourth proportional to 82.73, 114.24 and 72.48 is: 100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 114.24 = 72.48 : x
  2. Step 2: Convert to fraction form
    82.73/114.24 = 72.48/x
  3. Step 3: Cross multiply
    82.73x = 114.24 × 72.48
  4. Step 4: Simplify right side
    82.73x = 8,280.12
  5. Step 5: Solve for x
    x = 8,280.12/82.73
  6. Step 6: Final answer
    x = 100.09

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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.