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Finding the Fourth Proportional to 86.28, 129.40 and 49.75

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Solution

The fourth proportional to 86.28, 129.40 and 49.75 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.28 : 129.40 = 49.75 : x
  2. Step 2: Convert to fraction form
    86.28/129.40 = 49.75/x
  3. Step 3: Cross multiply
    86.28x = 129.40 × 49.75
  4. Step 4: Simplify right side
    86.28x = 6,437.65
  5. Step 5: Solve for x
    x = 6,437.65/86.28
  6. Step 6: Final answer
    x = 74.61

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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.