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Finding the Fourth Proportional to 154.41, 213.14 and 105.54

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Solution

The fourth proportional to 154.41, 213.14 and 105.54 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 213.14 = 105.54 : x
  2. Step 2: Convert to fraction form
    154.41/213.14 = 105.54/x
  3. Step 3: Cross multiply
    154.41x = 213.14 × 105.54
  4. Step 4: Simplify right side
    154.41x = 22,495.06
  5. Step 5: Solve for x
    x = 22,495.06/154.41
  6. Step 6: Final answer
    x = 145.68

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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.