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Finding the Fourth Proportional to 86.29, 119.09 and 49.45

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Solution

The fourth proportional to 86.29, 119.09 and 49.45 is: 68.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.29 : 119.09 = 49.45 : x
  2. Step 2: Convert to fraction form
    86.29/119.09 = 49.45/x
  3. Step 3: Cross multiply
    86.29x = 119.09 × 49.45
  4. Step 4: Simplify right side
    86.29x = 5,888.75
  5. Step 5: Solve for x
    x = 5,888.75/86.29
  6. Step 6: Final answer
    x = 68.24

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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.