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Finding the Fourth Proportional to 82.59, 113.98 and 49.84

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Solution

The fourth proportional to 82.59, 113.98 and 49.84 is: 68.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.59 : 113.98 = 49.84 : x
  2. Step 2: Convert to fraction form
    82.59/113.98 = 49.84/x
  3. Step 3: Cross multiply
    82.59x = 113.98 × 49.84
  4. Step 4: Simplify right side
    82.59x = 5,680.91
  5. Step 5: Solve for x
    x = 5,680.91/82.59
  6. Step 6: Final answer
    x = 68.78

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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.