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Finding the Fourth Proportional to 143.93, 198.62 and 78.43

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Solution

The fourth proportional to 143.93, 198.62 and 78.43 is: 108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.93 : 198.62 = 78.43 : x
  2. Step 2: Convert to fraction form
    143.93/198.62 = 78.43/x
  3. Step 3: Cross multiply
    143.93x = 198.62 × 78.43
  4. Step 4: Simplify right side
    143.93x = 15,577.77
  5. Step 5: Solve for x
    x = 15,577.77/143.93
  6. Step 6: Final answer
    x = 108.23

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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.