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Finding the Fourth Proportional to 143.10, 197.55 and 96.44

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Solution

The fourth proportional to 143.10, 197.55 and 96.44 is: 133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 197.55 = 96.44 : x
  2. Step 2: Convert to fraction form
    143.10/197.55 = 96.44/x
  3. Step 3: Cross multiply
    143.10x = 197.55 × 96.44
  4. Step 4: Simplify right side
    143.10x = 19,050.73
  5. Step 5: Solve for x
    x = 19,050.73/143.10
  6. Step 6: Final answer
    x = 133.13

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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.