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Finding the Fourth Proportional to 85.85, 127.88 and 81.19

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Solution

The fourth proportional to 85.85, 127.88 and 81.19 is: 120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.85 : 127.88 = 81.19 : x
  2. Step 2: Convert to fraction form
    85.85/127.88 = 81.19/x
  3. Step 3: Cross multiply
    85.85x = 127.88 × 81.19
  4. Step 4: Simplify right side
    85.85x = 10,382.58
  5. Step 5: Solve for x
    x = 10,382.58/85.85
  6. Step 6: Final answer
    x = 120.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.