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Finding the Fourth Proportional to 154.09, 212.34 and 119.05

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Solution

The fourth proportional to 154.09, 212.34 and 119.05 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 212.34 = 119.05 : x
  2. Step 2: Convert to fraction form
    154.09/212.34 = 119.05/x
  3. Step 3: Cross multiply
    154.09x = 212.34 × 119.05
  4. Step 4: Simplify right side
    154.09x = 25,278.02
  5. Step 5: Solve for x
    x = 25,278.02/154.09
  6. Step 6: Final answer
    x = 164.05

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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.