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Finding the Fourth Proportional to 85.94, 128.71 and 40.25

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Solution

The fourth proportional to 85.94, 128.71 and 40.25 is: 60.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.94 : 128.71 = 40.25 : x
  2. Step 2: Convert to fraction form
    85.94/128.71 = 40.25/x
  3. Step 3: Cross multiply
    85.94x = 128.71 × 40.25
  4. Step 4: Simplify right side
    85.94x = 5,180.34
  5. Step 5: Solve for x
    x = 5,180.34/85.94
  6. Step 6: Final answer
    x = 60.28

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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.