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Finding the Fourth Proportional to 154.99, 213.90 and 108.49

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Solution

The fourth proportional to 154.99, 213.90 and 108.49 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.99 : 213.90 = 108.49 : x
  2. Step 2: Convert to fraction form
    154.99/213.90 = 108.49/x
  3. Step 3: Cross multiply
    154.99x = 213.90 × 108.49
  4. Step 4: Simplify right side
    154.99x = 23,206.01
  5. Step 5: Solve for x
    x = 23,206.01/154.99
  6. Step 6: Final answer
    x = 149.73

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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.