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Finding the Fourth Proportional to 121.70, 181.59 and 108.03

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Solution

The fourth proportional to 121.70, 181.59 and 108.03 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.70 : 181.59 = 108.03 : x
  2. Step 2: Convert to fraction form
    121.70/181.59 = 108.03/x
  3. Step 3: Cross multiply
    121.70x = 181.59 × 108.03
  4. Step 4: Simplify right side
    121.70x = 19,618.05
  5. Step 5: Solve for x
    x = 19,618.05/121.70
  6. Step 6: Final answer
    x = 161.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.