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Finding the Fourth Proportional to 139.24, 192.17 and 86.78

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Solution

The fourth proportional to 139.24, 192.17 and 86.78 is: 119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 192.17 = 86.78 : x
  2. Step 2: Convert to fraction form
    139.24/192.17 = 86.78/x
  3. Step 3: Cross multiply
    139.24x = 192.17 × 86.78
  4. Step 4: Simplify right side
    139.24x = 16,676.51
  5. Step 5: Solve for x
    x = 16,676.51/139.24
  6. Step 6: Final answer
    x = 119.77

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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.