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Finding the Fourth Proportional to 82.82, 123.63 and 72.55

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Solution

The fourth proportional to 82.82, 123.63 and 72.55 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.82 : 123.63 = 72.55 : x
  2. Step 2: Convert to fraction form
    82.82/123.63 = 72.55/x
  3. Step 3: Cross multiply
    82.82x = 123.63 × 72.55
  4. Step 4: Simplify right side
    82.82x = 8,968.54
  5. Step 5: Solve for x
    x = 8,968.54/82.82
  6. Step 6: Final answer
    x = 108.29

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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.