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Finding the Fourth Proportional to 143.70, 197.96 and 114.54

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Solution

The fourth proportional to 143.70, 197.96 and 114.54 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 197.96 = 114.54 : x
  2. Step 2: Convert to fraction form
    143.70/197.96 = 114.54/x
  3. Step 3: Cross multiply
    143.70x = 197.96 × 114.54
  4. Step 4: Simplify right side
    143.70x = 22,673.77
  5. Step 5: Solve for x
    x = 22,673.77/143.70
  6. Step 6: Final answer
    x = 157.79

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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.