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Finding the Fourth Proportional to 154.75, 213.46 and 113.24

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Solution

The fourth proportional to 154.75, 213.46 and 113.24 is: 156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 213.46 = 113.24 : x
  2. Step 2: Convert to fraction form
    154.75/213.46 = 113.24/x
  3. Step 3: Cross multiply
    154.75x = 213.46 × 113.24
  4. Step 4: Simplify right side
    154.75x = 24,172.21
  5. Step 5: Solve for x
    x = 24,172.21/154.75
  6. Step 6: Final answer
    x = 156.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.