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Finding the Fourth Proportional to 143.04, 197.36 and 83.22

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Solution

The fourth proportional to 143.04, 197.36 and 83.22 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.04 : 197.36 = 83.22 : x
  2. Step 2: Convert to fraction form
    143.04/197.36 = 83.22/x
  3. Step 3: Cross multiply
    143.04x = 197.36 × 83.22
  4. Step 4: Simplify right side
    143.04x = 16,424.30
  5. Step 5: Solve for x
    x = 16,424.30/143.04
  6. Step 6: Final answer
    x = 114.82

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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.