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Finding the Fourth Proportional to 143.06, 197.52 and 104.45

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Solution

The fourth proportional to 143.06, 197.52 and 104.45 is: 144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 197.52 = 104.45 : x
  2. Step 2: Convert to fraction form
    143.06/197.52 = 104.45/x
  3. Step 3: Cross multiply
    143.06x = 197.52 × 104.45
  4. Step 4: Simplify right side
    143.06x = 20,630.96
  5. Step 5: Solve for x
    x = 20,630.96/143.06
  6. Step 6: Final answer
    x = 144.21

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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.