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Finding the Fourth Proportional to 82.17, 123.29 and 41.60

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Solution

The fourth proportional to 82.17, 123.29 and 41.60 is: 62.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.17 : 123.29 = 41.60 : x
  2. Step 2: Convert to fraction form
    82.17/123.29 = 41.60/x
  3. Step 3: Cross multiply
    82.17x = 123.29 × 41.60
  4. Step 4: Simplify right side
    82.17x = 5,128.04
  5. Step 5: Solve for x
    x = 5,128.04/82.17
  6. Step 6: Final answer
    x = 62.41

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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.