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Finding the Fourth Proportional to 154.56, 213.72 and 122.08

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Solution

The fourth proportional to 154.56, 213.72 and 122.08 is: 168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 213.72 = 122.08 : x
  2. Step 2: Convert to fraction form
    154.56/213.72 = 122.08/x
  3. Step 3: Cross multiply
    154.56x = 213.72 × 122.08
  4. Step 4: Simplify right side
    154.56x = 26,090.94
  5. Step 5: Solve for x
    x = 26,090.94/154.56
  6. Step 6: Final answer
    x = 168.81

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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.