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Finding the Fourth Proportional to 85.59, 127.77 and 80.28

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Solution

The fourth proportional to 85.59, 127.77 and 80.28 is: 119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 127.77 = 80.28 : x
  2. Step 2: Convert to fraction form
    85.59/127.77 = 80.28/x
  3. Step 3: Cross multiply
    85.59x = 127.77 × 80.28
  4. Step 4: Simplify right side
    85.59x = 10,257.38
  5. Step 5: Solve for x
    x = 10,257.38/85.59
  6. Step 6: Final answer
    x = 119.84

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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.