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Finding the Fourth Proportional to 154.57, 231.54 and 123.97

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Solution

The fourth proportional to 154.57, 231.54 and 123.97 is: 185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 231.54 = 123.97 : x
  2. Step 2: Convert to fraction form
    154.57/231.54 = 123.97/x
  3. Step 3: Cross multiply
    154.57x = 231.54 × 123.97
  4. Step 4: Simplify right side
    154.57x = 28,704.01
  5. Step 5: Solve for x
    x = 28,704.01/154.57
  6. Step 6: Final answer
    x = 185.70

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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.