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Finding the Fourth Proportional to 82.57, 113.86 and 49.80

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Solution

The fourth proportional to 82.57, 113.86 and 49.80 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 113.86 = 49.80 : x
  2. Step 2: Convert to fraction form
    82.57/113.86 = 49.80/x
  3. Step 3: Cross multiply
    82.57x = 113.86 × 49.80
  4. Step 4: Simplify right side
    82.57x = 5,670.72
  5. Step 5: Solve for x
    x = 5,670.72/82.57
  6. Step 6: Final answer
    x = 68.68

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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.