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Finding the Fourth Proportional to 143.13, 197.34 and 116.81

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Solution

The fourth proportional to 143.13, 197.34 and 116.81 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.13 : 197.34 = 116.81 : x
  2. Step 2: Convert to fraction form
    143.13/197.34 = 116.81/x
  3. Step 3: Cross multiply
    143.13x = 197.34 × 116.81
  4. Step 4: Simplify right side
    143.13x = 23,050.30
  5. Step 5: Solve for x
    x = 23,050.30/143.13
  6. Step 6: Final answer
    x = 161.04

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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.