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Finding the Fourth Proportional to 85.19, 127.78 and 27.43

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Solution

The fourth proportional to 85.19, 127.78 and 27.43 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 127.78 = 27.43 : x
  2. Step 2: Convert to fraction form
    85.19/127.78 = 27.43/x
  3. Step 3: Cross multiply
    85.19x = 127.78 × 27.43
  4. Step 4: Simplify right side
    85.19x = 3,504.62
  5. Step 5: Solve for x
    x = 3,504.62/85.19
  6. Step 6: Final answer
    x = 41.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.