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Finding the Fourth Proportional to 143.42, 197.85 and 84.40

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Solution

The fourth proportional to 143.42, 197.85 and 84.40 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 197.85 = 84.40 : x
  2. Step 2: Convert to fraction form
    143.42/197.85 = 84.40/x
  3. Step 3: Cross multiply
    143.42x = 197.85 × 84.40
  4. Step 4: Simplify right side
    143.42x = 16,698.54
  5. Step 5: Solve for x
    x = 16,698.54/143.42
  6. Step 6: Final answer
    x = 116.43

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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.