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Finding the Fourth Proportional to 85.61, 117.75 and 82.28

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Solution

The fourth proportional to 85.61, 117.75 and 82.28 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 117.75 = 82.28 : x
  2. Step 2: Convert to fraction form
    85.61/117.75 = 82.28/x
  3. Step 3: Cross multiply
    85.61x = 117.75 × 82.28
  4. Step 4: Simplify right side
    85.61x = 9,687.88
  5. Step 5: Solve for x
    x = 9,687.88/85.61
  6. Step 6: Final answer
    x = 113.17

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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.