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Finding the Fourth Proportional to 82.45, 123.58 and 41.82

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Solution

The fourth proportional to 82.45, 123.58 and 41.82 is: 62.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 123.58 = 41.82 : x
  2. Step 2: Convert to fraction form
    82.45/123.58 = 41.82/x
  3. Step 3: Cross multiply
    82.45x = 123.58 × 41.82
  4. Step 4: Simplify right side
    82.45x = 5,168.12
  5. Step 5: Solve for x
    x = 5,168.12/82.45
  6. Step 6: Final answer
    x = 62.68

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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.