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Finding the Fourth Proportional to 162.26, 223.79 and 106.98

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Solution

The fourth proportional to 162.26, 223.79 and 106.98 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.26 : 223.79 = 106.98 : x
  2. Step 2: Convert to fraction form
    162.26/223.79 = 106.98/x
  3. Step 3: Cross multiply
    162.26x = 223.79 × 106.98
  4. Step 4: Simplify right side
    162.26x = 23,940.52
  5. Step 5: Solve for x
    x = 23,940.52/162.26
  6. Step 6: Final answer
    x = 147.55

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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.