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Finding the Fourth Proportional to 143.05, 197.37 and 84.82

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Solution

The fourth proportional to 143.05, 197.37 and 84.82 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 197.37 = 84.82 : x
  2. Step 2: Convert to fraction form
    143.05/197.37 = 84.82/x
  3. Step 3: Cross multiply
    143.05x = 197.37 × 84.82
  4. Step 4: Simplify right side
    143.05x = 16,740.43
  5. Step 5: Solve for x
    x = 16,740.43/143.05
  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.