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Finding the Fourth Proportional to 121.75, 181.16 and 121.34

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Solution

The fourth proportional to 121.75, 181.16 and 121.34 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 181.16 = 121.34 : x
  2. Step 2: Convert to fraction form
    121.75/181.16 = 121.34/x
  3. Step 3: Cross multiply
    121.75x = 181.16 × 121.34
  4. Step 4: Simplify right side
    121.75x = 21,982.26
  5. Step 5: Solve for x
    x = 21,982.26/121.75
  6. Step 6: Final answer
    x = 180.56

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