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Finding the Fourth Proportional to 85.19, 127.91 and 75.96

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Solution

The fourth proportional to 85.19, 127.91 and 75.96 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 127.91 = 75.96 : x
  2. Step 2: Convert to fraction form
    85.19/127.91 = 75.96/x
  3. Step 3: Cross multiply
    85.19x = 127.91 × 75.96
  4. Step 4: Simplify right side
    85.19x = 9,716.23
  5. Step 5: Solve for x
    x = 9,716.23/85.19
  6. Step 6: Final answer
    x = 114.06

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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.