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Finding the Fourth Proportional to 121.91, 181.64 and 119.18

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Solution

The fourth proportional to 121.91, 181.64 and 119.18 is: 177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.91 : 181.64 = 119.18 : x
  2. Step 2: Convert to fraction form
    121.91/181.64 = 119.18/x
  3. Step 3: Cross multiply
    121.91x = 181.64 × 119.18
  4. Step 4: Simplify right side
    121.91x = 21,646.35
  5. Step 5: Solve for x
    x = 21,646.35/121.91
  6. Step 6: Final answer
    x = 177.56

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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.