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Finding the Fourth Proportional to 154.81, 231.85 and 106.03

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Solution

The fourth proportional to 154.81, 231.85 and 106.03 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.81 : 231.85 = 106.03 : x
  2. Step 2: Convert to fraction form
    154.81/231.85 = 106.03/x
  3. Step 3: Cross multiply
    154.81x = 231.85 × 106.03
  4. Step 4: Simplify right side
    154.81x = 24,583.06
  5. Step 5: Solve for x
    x = 24,583.06/154.81
  6. Step 6: Final answer
    x = 158.80

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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.