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Finding the Fourth Proportional to 82.20, 123.28 and 41.60

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Solution

The fourth proportional to 82.20, 123.28 and 41.60 is: 62.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 123.28 = 41.60 : x
  2. Step 2: Convert to fraction form
    82.20/123.28 = 41.60/x
  3. Step 3: Cross multiply
    82.20x = 123.28 × 41.60
  4. Step 4: Simplify right side
    82.20x = 5,128.45
  5. Step 5: Solve for x
    x = 5,128.45/82.20
  6. Step 6: Final answer
    x = 62.39

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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.