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Finding the Fourth Proportional to 143.42, 197.85 and 96.18

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Solution

The fourth proportional to 143.42, 197.85 and 96.18 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 197.85 = 96.18 : x
  2. Step 2: Convert to fraction form
    143.42/197.85 = 96.18/x
  3. Step 3: Cross multiply
    143.42x = 197.85 × 96.18
  4. Step 4: Simplify right side
    143.42x = 19,028.22
  5. Step 5: Solve for x
    x = 19,028.22/143.42
  6. Step 6: Final answer
    x = 132.68

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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.