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Finding the Fourth Proportional to 82.41, 113.70 and 49.65

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Solution

The fourth proportional to 82.41, 113.70 and 49.65 is: 68.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 113.70 = 49.65 : x
  2. Step 2: Convert to fraction form
    82.41/113.70 = 49.65/x
  3. Step 3: Cross multiply
    82.41x = 113.70 × 49.65
  4. Step 4: Simplify right side
    82.41x = 5,645.21
  5. Step 5: Solve for x
    x = 5,645.21/82.41
  6. Step 6: Final answer
    x = 68.50

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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.