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Finding the Fourth Proportional to 121.80, 182.74 and 107.98

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Solution

The fourth proportional to 121.80, 182.74 and 107.98 is: 162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 182.74 = 107.98 : x
  2. Step 2: Convert to fraction form
    121.80/182.74 = 107.98/x
  3. Step 3: Cross multiply
    121.80x = 182.74 × 107.98
  4. Step 4: Simplify right side
    121.80x = 19,732.27
  5. Step 5: Solve for x
    x = 19,732.27/121.80
  6. Step 6: Final answer
    x = 162.01

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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.