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Finding the Fourth Proportional to 143.74, 198.48 and 97.21

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Solution

The fourth proportional to 143.74, 198.48 and 97.21 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.74 : 198.48 = 97.21 : x
  2. Step 2: Convert to fraction form
    143.74/198.48 = 97.21/x
  3. Step 3: Cross multiply
    143.74x = 198.48 × 97.21
  4. Step 4: Simplify right side
    143.74x = 19,294.24
  5. Step 5: Solve for x
    x = 19,294.24/143.74
  6. Step 6: Final answer
    x = 134.23

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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.