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Finding the Fourth Proportional to 161.98, 242.52 and 107.80

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Solution

The fourth proportional to 161.98, 242.52 and 107.80 is: 161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.98 : 242.52 = 107.80 : x
  2. Step 2: Convert to fraction form
    161.98/242.52 = 107.80/x
  3. Step 3: Cross multiply
    161.98x = 242.52 × 107.80
  4. Step 4: Simplify right side
    161.98x = 26,143.66
  5. Step 5: Solve for x
    x = 26,143.66/161.98
  6. Step 6: Final answer
    x = 161.40

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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.