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Finding the Fourth Proportional to 82.38, 113.12 and 79.35

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Solution

The fourth proportional to 82.38, 113.12 and 79.35 is: 108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 113.12 = 79.35 : x
  2. Step 2: Convert to fraction form
    82.38/113.12 = 79.35/x
  3. Step 3: Cross multiply
    82.38x = 113.12 × 79.35
  4. Step 4: Simplify right side
    82.38x = 8,975.70
  5. Step 5: Solve for x
    x = 8,975.70/82.38
  6. Step 6: Final answer
    x = 108.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.