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Finding the Fourth Proportional to 154.80, 213.28 and 108.09

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Solution

The fourth proportional to 154.80, 213.28 and 108.09 is: 148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 213.28 = 108.09 : x
  2. Step 2: Convert to fraction form
    154.80/213.28 = 108.09/x
  3. Step 3: Cross multiply
    154.80x = 213.28 × 108.09
  4. Step 4: Simplify right side
    154.80x = 23,053.44
  5. Step 5: Solve for x
    x = 23,053.44/154.80
  6. Step 6: Final answer
    x = 148.92

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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.