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Finding the Fourth Proportional to 142.25, 196.29 and 86.96

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Solution

The fourth proportional to 142.25, 196.29 and 86.96 is: 120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.25 : 196.29 = 86.96 : x
  2. Step 2: Convert to fraction form
    142.25/196.29 = 86.96/x
  3. Step 3: Cross multiply
    142.25x = 196.29 × 86.96
  4. Step 4: Simplify right side
    142.25x = 17,069.87
  5. Step 5: Solve for x
    x = 17,069.87/142.25
  6. Step 6: Final answer
    x = 120.00

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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.