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Finding the Fourth Proportional to 143.29, 197.69 and 87.29

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Solution

The fourth proportional to 143.29, 197.69 and 87.29 is: 120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.29 : 197.69 = 87.29 : x
  2. Step 2: Convert to fraction form
    143.29/197.69 = 87.29/x
  3. Step 3: Cross multiply
    143.29x = 197.69 × 87.29
  4. Step 4: Simplify right side
    143.29x = 17,256.36
  5. Step 5: Solve for x
    x = 17,256.36/143.29
  6. Step 6: Final answer
    x = 120.43

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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.