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Finding the Fourth Proportional to 82.38, 113.82 and 68.55

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Solution

The fourth proportional to 82.38, 113.82 and 68.55 is: 94.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 113.82 = 68.55 : x
  2. Step 2: Convert to fraction form
    82.38/113.82 = 68.55/x
  3. Step 3: Cross multiply
    82.38x = 113.82 × 68.55
  4. Step 4: Simplify right side
    82.38x = 7,802.36
  5. Step 5: Solve for x
    x = 7,802.36/82.38
  6. Step 6: Final answer
    x = 94.71

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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.