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Finding the Fourth Proportional to 139.36, 192.24 and 119.84

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Solution

The fourth proportional to 139.36, 192.24 and 119.84 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.36 : 192.24 = 119.84 : x
  2. Step 2: Convert to fraction form
    139.36/192.24 = 119.84/x
  3. Step 3: Cross multiply
    139.36x = 192.24 × 119.84
  4. Step 4: Simplify right side
    139.36x = 23,038.04
  5. Step 5: Solve for x
    x = 23,038.04/139.36
  6. Step 6: Final answer
    x = 165.31

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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.