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Finding the Fourth Proportional to 142.21, 196.18 and 95.59

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Solution

The fourth proportional to 142.21, 196.18 and 95.59 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.21 : 196.18 = 95.59 : x
  2. Step 2: Convert to fraction form
    142.21/196.18 = 95.59/x
  3. Step 3: Cross multiply
    142.21x = 196.18 × 95.59
  4. Step 4: Simplify right side
    142.21x = 18,752.85
  5. Step 5: Solve for x
    x = 18,752.85/142.21
  6. Step 6: Final answer
    x = 131.87

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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.