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Finding the Fourth Proportional to 143.17, 197.61 and 84.16

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Solution

The fourth proportional to 143.17, 197.61 and 84.16 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.17 : 197.61 = 84.16 : x
  2. Step 2: Convert to fraction form
    143.17/197.61 = 84.16/x
  3. Step 3: Cross multiply
    143.17x = 197.61 × 84.16
  4. Step 4: Simplify right side
    143.17x = 16,630.23
  5. Step 5: Solve for x
    x = 16,630.23/143.17
  6. Step 6: Final answer
    x = 116.16

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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.