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Finding the Fourth Proportional to 154.20, 212.33 and 121.14

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Solution

The fourth proportional to 154.20, 212.33 and 121.14 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 212.33 = 121.14 : x
  2. Step 2: Convert to fraction form
    154.20/212.33 = 121.14/x
  3. Step 3: Cross multiply
    154.20x = 212.33 × 121.14
  4. Step 4: Simplify right side
    154.20x = 25,721.66
  5. Step 5: Solve for x
    x = 25,721.66/154.20
  6. Step 6: Final answer
    x = 166.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.