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Finding the Fourth Proportional to 143.29, 197.76 and 90.85

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Solution

The fourth proportional to 143.29, 197.76 and 90.85 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.29 : 197.76 = 90.85 : x
  2. Step 2: Convert to fraction form
    143.29/197.76 = 90.85/x
  3. Step 3: Cross multiply
    143.29x = 197.76 × 90.85
  4. Step 4: Simplify right side
    143.29x = 17,966.04
  5. Step 5: Solve for x
    x = 17,966.04/143.29
  6. Step 6: Final answer
    x = 125.38

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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.