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Finding the Fourth Proportional to 154.62, 231.96 and 68.00

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Solution

The fourth proportional to 154.62, 231.96 and 68.00 is: 102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 231.96 = 68.00 : x
  2. Step 2: Convert to fraction form
    154.62/231.96 = 68.00/x
  3. Step 3: Cross multiply
    154.62x = 231.96 × 68.00
  4. Step 4: Simplify right side
    154.62x = 15,772.12
  5. Step 5: Solve for x
    x = 15,772.12/154.62
  6. Step 6: Final answer
    x = 102.01

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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.