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Finding the Fourth Proportional to 154.69, 231.94 and 106.59

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Solution

The fourth proportional to 154.69, 231.94 and 106.59 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.69 : 231.94 = 106.59 : x
  2. Step 2: Convert to fraction form
    154.69/231.94 = 106.59/x
  3. Step 3: Cross multiply
    154.69x = 231.94 × 106.59
  4. Step 4: Simplify right side
    154.69x = 24,722.48
  5. Step 5: Solve for x
    x = 24,722.48/154.69
  6. Step 6: Final answer
    x = 159.82

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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.