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Finding the Fourth Proportional to 143.70, 198.25 and 88.42

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Solution

The fourth proportional to 143.70, 198.25 and 88.42 is: 121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 198.25 = 88.42 : x
  2. Step 2: Convert to fraction form
    143.70/198.25 = 88.42/x
  3. Step 3: Cross multiply
    143.70x = 198.25 × 88.42
  4. Step 4: Simplify right side
    143.70x = 17,528.55
  5. Step 5: Solve for x
    x = 17,528.55/143.70
  6. Step 6: Final answer
    x = 121.98

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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.