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Finding the Fourth Proportional to 142.32, 196.47 and 107.29

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Solution

The fourth proportional to 142.32, 196.47 and 107.29 is: 148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 196.47 = 107.29 : x
  2. Step 2: Convert to fraction form
    142.32/196.47 = 107.29/x
  3. Step 3: Cross multiply
    142.32x = 196.47 × 107.29
  4. Step 4: Simplify right side
    142.32x = 21,078.73
  5. Step 5: Solve for x
    x = 21,078.73/142.32
  6. Step 6: Final answer
    x = 148.11

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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.