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Finding the Fourth Proportional to 85.96, 128.12 and 83.46

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Solution

The fourth proportional to 85.96, 128.12 and 83.46 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.12 = 83.46 : x
  2. Step 2: Convert to fraction form
    85.96/128.12 = 83.46/x
  3. Step 3: Cross multiply
    85.96x = 128.12 × 83.46
  4. Step 4: Simplify right side
    85.96x = 10,692.96
  5. Step 5: Solve for x
    x = 10,692.96/85.96
  6. Step 6: Final answer
    x = 124.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.