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Finding the Fourth Proportional to 82.41, 123.78 and 60.84

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Solution

The fourth proportional to 82.41, 123.78 and 60.84 is: 91.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 123.78 = 60.84 : x
  2. Step 2: Convert to fraction form
    82.41/123.78 = 60.84/x
  3. Step 3: Cross multiply
    82.41x = 123.78 × 60.84
  4. Step 4: Simplify right side
    82.41x = 7,530.78
  5. Step 5: Solve for x
    x = 7,530.78/82.41
  6. Step 6: Final answer
    x = 91.38

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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.