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Finding the Fourth Proportional to 154.98, 231.81 and 113.87

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Solution

The fourth proportional to 154.98, 231.81 and 113.87 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 231.81 = 113.87 : x
  2. Step 2: Convert to fraction form
    154.98/231.81 = 113.87/x
  3. Step 3: Cross multiply
    154.98x = 231.81 × 113.87
  4. Step 4: Simplify right side
    154.98x = 26,396.20
  5. Step 5: Solve for x
    x = 26,396.20/154.98
  6. Step 6: Final answer
    x = 170.32

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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.