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Finding the Fourth Proportional to 83.94, 115.82 and 61.82

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Solution

The fourth proportional to 83.94, 115.82 and 61.82 is: 85.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.94 : 115.82 = 61.82 : x
  2. Step 2: Convert to fraction form
    83.94/115.82 = 61.82/x
  3. Step 3: Cross multiply
    83.94x = 115.82 × 61.82
  4. Step 4: Simplify right side
    83.94x = 7,159.99
  5. Step 5: Solve for x
    x = 7,159.99/83.94
  6. Step 6: Final answer
    x = 85.30

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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.