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Finding the Fourth Proportional to 142, 213.04 and 107.84

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Solution

The fourth proportional to 142, 213.04 and 107.84 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 213.04 = 107.84 : x
  2. Step 2: Convert to fraction form
    142/213.04 = 107.84/x
  3. Step 3: Cross multiply
    142x = 213.04 × 107.84
  4. Step 4: Simplify right side
    142x = 22,974.23
  5. Step 5: Solve for x
    x = 22,974.23/142
  6. Step 6: Final answer
    x = 161.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.