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Finding the Fourth Proportional to 154.68, 231.79 and 103.14

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Solution

The fourth proportional to 154.68, 231.79 and 103.14 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 231.79 = 103.14 : x
  2. Step 2: Convert to fraction form
    154.68/231.79 = 103.14/x
  3. Step 3: Cross multiply
    154.68x = 231.79 × 103.14
  4. Step 4: Simplify right side
    154.68x = 23,905.49
  5. Step 5: Solve for x
    x = 23,905.49/154.68
  6. Step 6: Final answer
    x = 154.54

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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.