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Finding the Fourth Proportional to 143.54, 198.11 and 106.64

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Solution

The fourth proportional to 143.54, 198.11 and 106.64 is: 147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.54 : 198.11 = 106.64 : x
  2. Step 2: Convert to fraction form
    143.54/198.11 = 106.64/x
  3. Step 3: Cross multiply
    143.54x = 198.11 × 106.64
  4. Step 4: Simplify right side
    143.54x = 21,126.45
  5. Step 5: Solve for x
    x = 21,126.45/143.54
  6. Step 6: Final answer
    x = 147.18

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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.