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Finding the Fourth Proportional to 143.03, 197.37 and 84.83

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Solution

The fourth proportional to 143.03, 197.37 and 84.83 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.03 : 197.37 = 84.83 : x
  2. Step 2: Convert to fraction form
    143.03/197.37 = 84.83/x
  3. Step 3: Cross multiply
    143.03x = 197.37 × 84.83
  4. Step 4: Simplify right side
    143.03x = 16,741.91
  5. Step 5: Solve for x
    x = 16,741.91/143.03
  6. Step 6: Final answer
    x = 117.05

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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.