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Finding the Fourth Proportional to 82.48, 113.78 and 49.29

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Solution

The fourth proportional to 82.48, 113.78 and 49.29 is: 67.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.48 : 113.78 = 49.29 : x
  2. Step 2: Convert to fraction form
    82.48/113.78 = 49.29/x
  3. Step 3: Cross multiply
    82.48x = 113.78 × 49.29
  4. Step 4: Simplify right side
    82.48x = 5,608.22
  5. Step 5: Solve for x
    x = 5,608.22/82.48
  6. Step 6: Final answer
    x = 67.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.