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Finding the Fourth Proportional to 83.68, 115.32 and 79.36

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Solution

The fourth proportional to 83.68, 115.32 and 79.36 is: 109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.68 : 115.32 = 79.36 : x
  2. Step 2: Convert to fraction form
    83.68/115.32 = 79.36/x
  3. Step 3: Cross multiply
    83.68x = 115.32 × 79.36
  4. Step 4: Simplify right side
    83.68x = 9,151.80
  5. Step 5: Solve for x
    x = 9,151.80/83.68
  6. Step 6: Final answer
    x = 109.37

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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.