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Finding the Fourth Proportional to 85.96, 128.92 and 28.18

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Solution

The fourth proportional to 85.96, 128.92 and 28.18 is: 42.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.92 = 28.18 : x
  2. Step 2: Convert to fraction form
    85.96/128.92 = 28.18/x
  3. Step 3: Cross multiply
    85.96x = 128.92 × 28.18
  4. Step 4: Simplify right side
    85.96x = 3,632.97
  5. Step 5: Solve for x
    x = 3,632.97/85.96
  6. Step 6: Final answer
    x = 42.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.