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Finding the Fourth Proportional to 139.24, 192.13 and 81.06

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Solution

The fourth proportional to 139.24, 192.13 and 81.06 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 192.13 = 81.06 : x
  2. Step 2: Convert to fraction form
    139.24/192.13 = 81.06/x
  3. Step 3: Cross multiply
    139.24x = 192.13 × 81.06
  4. Step 4: Simplify right side
    139.24x = 15,574.06
  5. Step 5: Solve for x
    x = 15,574.06/139.24
  6. Step 6: Final answer
    x = 111.85

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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.