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Finding the Fourth Proportional to 154.64, 231.69 and 111.08

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Solution

The fourth proportional to 154.64, 231.69 and 111.08 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 231.69 = 111.08 : x
  2. Step 2: Convert to fraction form
    154.64/231.69 = 111.08/x
  3. Step 3: Cross multiply
    154.64x = 231.69 × 111.08
  4. Step 4: Simplify right side
    154.64x = 25,736.13
  5. Step 5: Solve for x
    x = 25,736.13/154.64
  6. Step 6: Final answer
    x = 166.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.