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Finding the Fourth Proportional to 121.56, 181.07 and 119.13

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Solution

The fourth proportional to 121.56, 181.07 and 119.13 is: 177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.56 : 181.07 = 119.13 : x
  2. Step 2: Convert to fraction form
    121.56/181.07 = 119.13/x
  3. Step 3: Cross multiply
    121.56x = 181.07 × 119.13
  4. Step 4: Simplify right side
    121.56x = 21,570.87
  5. Step 5: Solve for x
    x = 21,570.87/121.56
  6. Step 6: Final answer
    x = 177.45

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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.