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Finding the Fourth Proportional to 82.32, 123.41 and 43.83

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Solution

The fourth proportional to 82.32, 123.41 and 43.83 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.32 : 123.41 = 43.83 : x
  2. Step 2: Convert to fraction form
    82.32/123.41 = 43.83/x
  3. Step 3: Cross multiply
    82.32x = 123.41 × 43.83
  4. Step 4: Simplify right side
    82.32x = 5,409.67
  5. Step 5: Solve for x
    x = 5,409.67/82.32
  6. Step 6: Final answer
    x = 65.71

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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.