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Finding the Fourth Proportional to 143.40, 197.83 and 96.81

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Solution

The fourth proportional to 143.40, 197.83 and 96.81 is: 133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.83 = 96.81 : x
  2. Step 2: Convert to fraction form
    143.40/197.83 = 96.81/x
  3. Step 3: Cross multiply
    143.40x = 197.83 × 96.81
  4. Step 4: Simplify right side
    143.40x = 19,151.30
  5. Step 5: Solve for x
    x = 19,151.30/143.40
  6. Step 6: Final answer
    x = 133.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.