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Finding the Fourth Proportional to 161.98, 243.03 and 97.90

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Solution

The fourth proportional to 161.98, 243.03 and 97.90 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 243.03 = 97.90 : x
  2. Step 2: Convert to fraction form
    161.98/243.03 = 97.90/x
  3. Step 3: Cross multiply
    161.98x = 243.03 × 97.90
  4. Step 4: Simplify right side
    161.98x = 23,792.64
  5. Step 5: Solve for x
    x = 23,792.64/161.98
  6. Step 6: Final answer
    x = 146.89

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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.