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Finding the Fourth Proportional to 143.28, 197.68 and 90.81

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Solution

The fourth proportional to 143.28, 197.68 and 90.81 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.28 : 197.68 = 90.81 : x
  2. Step 2: Convert to fraction form
    143.28/197.68 = 90.81/x
  3. Step 3: Cross multiply
    143.28x = 197.68 × 90.81
  4. Step 4: Simplify right side
    143.28x = 17,951.09
  5. Step 5: Solve for x
    x = 17,951.09/143.28
  6. Step 6: Final answer
    x = 125.29

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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.