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Finding the Fourth Proportional to 82.48, 123.62 and 43.97

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Solution

The fourth proportional to 82.48, 123.62 and 43.97 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.48 : 123.62 = 43.97 : x
  2. Step 2: Convert to fraction form
    82.48/123.62 = 43.97/x
  3. Step 3: Cross multiply
    82.48x = 123.62 × 43.97
  4. Step 4: Simplify right side
    82.48x = 5,436.14
  5. Step 5: Solve for x
    x = 5,436.14/82.48
  6. Step 6: Final answer
    x = 65.91

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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.