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Finding the Fourth Proportional to 85.69, 117.95 and 82.05

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Solution

The fourth proportional to 85.69, 117.95 and 82.05 is: 112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 117.95 = 82.05 : x
  2. Step 2: Convert to fraction form
    85.69/117.95 = 82.05/x
  3. Step 3: Cross multiply
    85.69x = 117.95 × 82.05
  4. Step 4: Simplify right side
    85.69x = 9,677.80
  5. Step 5: Solve for x
    x = 9,677.80/85.69
  6. Step 6: Final answer
    x = 112.94

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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.