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Finding the Fourth Proportional to 85.61, 118.13 and 82.08

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Solution

The fourth proportional to 85.61, 118.13 and 82.08 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 118.13 = 82.08 : x
  2. Step 2: Convert to fraction form
    85.61/118.13 = 82.08/x
  3. Step 3: Cross multiply
    85.61x = 118.13 × 82.08
  4. Step 4: Simplify right side
    85.61x = 9,695.70
  5. Step 5: Solve for x
    x = 9,695.70/85.61
  6. Step 6: Final answer
    x = 113.25

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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.