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Finding the Fourth Proportional to 143.07, 197.34 and 84.85

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Solution

The fourth proportional to 143.07, 197.34 and 84.85 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 197.34 = 84.85 : x
  2. Step 2: Convert to fraction form
    143.07/197.34 = 84.85/x
  3. Step 3: Cross multiply
    143.07x = 197.34 × 84.85
  4. Step 4: Simplify right side
    143.07x = 16,743.49
  5. Step 5: Solve for x
    x = 16,743.49/143.07
  6. Step 6: Final answer
    x = 117.03

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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.