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Finding the Fourth Proportional to 83.78, 115.62 and 50.59

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Solution

The fourth proportional to 83.78, 115.62 and 50.59 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 115.62 = 50.59 : x
  2. Step 2: Convert to fraction form
    83.78/115.62 = 50.59/x
  3. Step 3: Cross multiply
    83.78x = 115.62 × 50.59
  4. Step 4: Simplify right side
    83.78x = 5,849.49
  5. Step 5: Solve for x
    x = 5,849.49/83.78
  6. Step 6: Final answer
    x = 69.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.