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Finding the Fourth Proportional to 143.01, 197.31 and 123.42

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Solution

The fourth proportional to 143.01, 197.31 and 123.42 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.01 : 197.31 = 123.42 : x
  2. Step 2: Convert to fraction form
    143.01/197.31 = 123.42/x
  3. Step 3: Cross multiply
    143.01x = 197.31 × 123.42
  4. Step 4: Simplify right side
    143.01x = 24,352.00
  5. Step 5: Solve for x
    x = 24,352.00/143.01
  6. Step 6: Final answer
    x = 170.28

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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.