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Finding the Fourth Proportional to 82.28, 123.31 and 72.63

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Solution

The fourth proportional to 82.28, 123.31 and 72.63 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 123.31 = 72.63 : x
  2. Step 2: Convert to fraction form
    82.28/123.31 = 72.63/x
  3. Step 3: Cross multiply
    82.28x = 123.31 × 72.63
  4. Step 4: Simplify right side
    82.28x = 8,956.01
  5. Step 5: Solve for x
    x = 8,956.01/82.28
  6. Step 6: Final answer
    x = 108.85

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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.