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Finding the Fourth Proportional to 143.70, 215.13 and 97.98

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Solution

The fourth proportional to 143.70, 215.13 and 97.98 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 215.13 = 97.98 : x
  2. Step 2: Convert to fraction form
    143.70/215.13 = 97.98/x
  3. Step 3: Cross multiply
    143.70x = 215.13 × 97.98
  4. Step 4: Simplify right side
    143.70x = 21,078.44
  5. Step 5: Solve for x
    x = 21,078.44/143.70
  6. Step 6: Final answer
    x = 146.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.