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Finding the Fourth Proportional to 154.07, 231.12 and 115.63

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Solution

The fourth proportional to 154.07, 231.12 and 115.63 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 231.12 = 115.63 : x
  2. Step 2: Convert to fraction form
    154.07/231.12 = 115.63/x
  3. Step 3: Cross multiply
    154.07x = 231.12 × 115.63
  4. Step 4: Simplify right side
    154.07x = 26,723.83
  5. Step 5: Solve for x
    x = 26,723.83/154.07
  6. Step 6: Final answer
    x = 173.45

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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.