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Finding the Fourth Proportional to 85.42, 128.75 and 79.85

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Solution

The fourth proportional to 85.42, 128.75 and 79.85 is: 120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.42 : 128.75 = 79.85 : x
  2. Step 2: Convert to fraction form
    85.42/128.75 = 79.85/x
  3. Step 3: Cross multiply
    85.42x = 128.75 × 79.85
  4. Step 4: Simplify right side
    85.42x = 10,280.69
  5. Step 5: Solve for x
    x = 10,280.69/85.42
  6. Step 6: Final answer
    x = 120.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.