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Finding the Fourth Proportional to 143.92, 198.66 and 88.75

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Solution

The fourth proportional to 143.92, 198.66 and 88.75 is: 122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.92 : 198.66 = 88.75 : x
  2. Step 2: Convert to fraction form
    143.92/198.66 = 88.75/x
  3. Step 3: Cross multiply
    143.92x = 198.66 × 88.75
  4. Step 4: Simplify right side
    143.92x = 17,631.08
  5. Step 5: Solve for x
    x = 17,631.08/143.92
  6. Step 6: Final answer
    x = 122.51

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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.