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Finding the Fourth Proportional to 86.28, 129.41 and 25.41

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Solution

The fourth proportional to 86.28, 129.41 and 25.41 is: 38.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.28 : 129.41 = 25.41 : x
  2. Step 2: Convert to fraction form
    86.28/129.41 = 25.41/x
  3. Step 3: Cross multiply
    86.28x = 129.41 × 25.41
  4. Step 4: Simplify right side
    86.28x = 3,288.18
  5. Step 5: Solve for x
    x = 3,288.18/86.28
  6. Step 6: Final answer
    x = 38.11

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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.