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Finding the Fourth Proportional to 85.71, 128.61 and 40.05

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Solution

The fourth proportional to 85.71, 128.61 and 40.05 is: 60.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 128.61 = 40.05 : x
  2. Step 2: Convert to fraction form
    85.71/128.61 = 40.05/x
  3. Step 3: Cross multiply
    85.71x = 128.61 × 40.05
  4. Step 4: Simplify right side
    85.71x = 5,150.73
  5. Step 5: Solve for x
    x = 5,150.73/85.71
  6. Step 6: Final answer
    x = 60.09

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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.