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Finding the Fourth Proportional to 83.86, 125.78 and 78.39

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Solution

The fourth proportional to 83.86, 125.78 and 78.39 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.86 : 125.78 = 78.39 : x
  2. Step 2: Convert to fraction form
    83.86/125.78 = 78.39/x
  3. Step 3: Cross multiply
    83.86x = 125.78 × 78.39
  4. Step 4: Simplify right side
    83.86x = 9,859.50
  5. Step 5: Solve for x
    x = 9,859.50/83.86
  6. Step 6: Final answer
    x = 117.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.