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Finding the Fourth Proportional to 121.45, 181.34 and 105.25

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Solution

The fourth proportional to 121.45, 181.34 and 105.25 is: 157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.45 : 181.34 = 105.25 : x
  2. Step 2: Convert to fraction form
    121.45/181.34 = 105.25/x
  3. Step 3: Cross multiply
    121.45x = 181.34 × 105.25
  4. Step 4: Simplify right side
    121.45x = 19,086.04
  5. Step 5: Solve for x
    x = 19,086.04/121.45
  6. Step 6: Final answer
    x = 157.15

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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.