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Finding the Fourth Proportional to 154.57, 231.45 and 108.76

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Solution

The fourth proportional to 154.57, 231.45 and 108.76 is: 162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 231.45 = 108.76 : x
  2. Step 2: Convert to fraction form
    154.57/231.45 = 108.76/x
  3. Step 3: Cross multiply
    154.57x = 231.45 × 108.76
  4. Step 4: Simplify right side
    154.57x = 25,172.50
  5. Step 5: Solve for x
    x = 25,172.50/154.57
  6. Step 6: Final answer
    x = 162.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.