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Finding the Fourth Proportional to 86.46, 119.31 and 49.12

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Solution

The fourth proportional to 86.46, 119.31 and 49.12 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 119.31 = 49.12 : x
  2. Step 2: Convert to fraction form
    86.46/119.31 = 49.12/x
  3. Step 3: Cross multiply
    86.46x = 119.31 × 49.12
  4. Step 4: Simplify right side
    86.46x = 5,860.51
  5. Step 5: Solve for x
    x = 5,860.51/86.46
  6. Step 6: Final answer
    x = 67.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.