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Finding the Fourth Proportional to 143.80, 198.48 and 97.24

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Solution

The fourth proportional to 143.80, 198.48 and 97.24 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 198.48 = 97.24 : x
  2. Step 2: Convert to fraction form
    143.80/198.48 = 97.24/x
  3. Step 3: Cross multiply
    143.80x = 198.48 × 97.24
  4. Step 4: Simplify right side
    143.80x = 19,300.20
  5. Step 5: Solve for x
    x = 19,300.20/143.80
  6. Step 6: Final answer
    x = 134.22

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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.