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Finding the Fourth Proportional to 142.21, 195.20 and 131.27

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Solution

The fourth proportional to 142.21, 195.20 and 131.27 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.21 : 195.20 = 131.27 : x
  2. Step 2: Convert to fraction form
    142.21/195.20 = 131.27/x
  3. Step 3: Cross multiply
    142.21x = 195.20 × 131.27
  4. Step 4: Simplify right side
    142.21x = 25,623.90
  5. Step 5: Solve for x
    x = 25,623.90/142.21
  6. Step 6: Final answer
    x = 180.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.