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Finding the Fourth Proportional to 142.29, 196.17 and 107.36

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Solution

The fourth proportional to 142.29, 196.17 and 107.36 is: 148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.29 : 196.17 = 107.36 : x
  2. Step 2: Convert to fraction form
    142.29/196.17 = 107.36/x
  3. Step 3: Cross multiply
    142.29x = 196.17 × 107.36
  4. Step 4: Simplify right side
    142.29x = 21,060.92
  5. Step 5: Solve for x
    x = 21,060.92/142.29
  6. Step 6: Final answer
    x = 148.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.