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Finding the Fourth Proportional to 85.96, 118.68 and 75.16

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Solution

The fourth proportional to 85.96, 118.68 and 75.16 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 118.68 = 75.16 : x
  2. Step 2: Convert to fraction form
    85.96/118.68 = 75.16/x
  3. Step 3: Cross multiply
    85.96x = 118.68 × 75.16
  4. Step 4: Simplify right side
    85.96x = 8,919.99
  5. Step 5: Solve for x
    x = 8,919.99/85.96
  6. Step 6: Final answer
    x = 103.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.