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Finding the Fourth Proportional to 82.43, 113.77 and 49.70

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Solution

The fourth proportional to 82.43, 113.77 and 49.70 is: 68.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.43 : 113.77 = 49.70 : x
  2. Step 2: Convert to fraction form
    82.43/113.77 = 49.70/x
  3. Step 3: Cross multiply
    82.43x = 113.77 × 49.70
  4. Step 4: Simplify right side
    82.43x = 5,654.53
  5. Step 5: Solve for x
    x = 5,654.53/82.43
  6. Step 6: Final answer
    x = 68.60

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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.