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Finding the Fourth Proportional to 111.69, 154.02 and 106.32

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Solution

The fourth proportional to 111.69, 154.02 and 106.32 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 154.02 = 106.32 : x
  2. Step 2: Convert to fraction form
    111.69/154.02 = 106.32/x
  3. Step 3: Cross multiply
    111.69x = 154.02 × 106.32
  4. Step 4: Simplify right side
    111.69x = 16,375.41
  5. Step 5: Solve for x
    x = 16,375.41/111.69
  6. Step 6: Final answer
    x = 146.61

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Why These Related Problems?

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