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Finding the Fourth Proportional to 82.19, 113.39 and 49.45

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Solution

The fourth proportional to 82.19, 113.39 and 49.45 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 113.39 = 49.45 : x
  2. Step 2: Convert to fraction form
    82.19/113.39 = 49.45/x
  3. Step 3: Cross multiply
    82.19x = 113.39 × 49.45
  4. Step 4: Simplify right side
    82.19x = 5,606.57
  5. Step 5: Solve for x
    x = 5,606.57/82.19
  6. Step 6: Final answer
    x = 68.21

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Why These Related Problems?

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