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Finding the Fourth Proportional to 85.96, 128.76 and 75.34

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Solution

The fourth proportional to 85.96, 128.76 and 75.34 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.76 = 75.34 : x
  2. Step 2: Convert to fraction form
    85.96/128.76 = 75.34/x
  3. Step 3: Cross multiply
    85.96x = 128.76 × 75.34
  4. Step 4: Simplify right side
    85.96x = 9,700.78
  5. Step 5: Solve for x
    x = 9,700.78/85.96
  6. Step 6: Final answer
    x = 112.85

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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.