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Finding the Fourth Proportional to 142.22, 196.19 and 109

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Solution

The fourth proportional to 142.22, 196.19 and 109 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 196.19 = 109 : x
  2. Step 2: Convert to fraction form
    142.22/196.19 = 109/x
  3. Step 3: Cross multiply
    142.22x = 196.19 × 109
  4. Step 4: Simplify right side
    142.22x = 21,384.71
  5. Step 5: Solve for x
    x = 21,384.71/142.22
  6. Step 6: Final answer
    x = 150.36

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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.