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Finding the Fourth Proportional to 121.49, 182.03 and 106.10

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Solution

The fourth proportional to 121.49, 182.03 and 106.10 is: 158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.49 : 182.03 = 106.10 : x
  2. Step 2: Convert to fraction form
    121.49/182.03 = 106.10/x
  3. Step 3: Cross multiply
    121.49x = 182.03 × 106.10
  4. Step 4: Simplify right side
    121.49x = 19,311.94
  5. Step 5: Solve for x
    x = 19,311.94/121.49
  6. Step 6: Final answer
    x = 158.97

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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.