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Finding the Fourth Proportional to 143.58, 198.24 and 103.26

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Solution

The fourth proportional to 143.58, 198.24 and 103.26 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.58 : 198.24 = 103.26 : x
  2. Step 2: Convert to fraction form
    143.58/198.24 = 103.26/x
  3. Step 3: Cross multiply
    143.58x = 198.24 × 103.26
  4. Step 4: Simplify right side
    143.58x = 20,470.26
  5. Step 5: Solve for x
    x = 20,470.26/143.58
  6. Step 6: Final answer
    x = 142.57

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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.