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Finding the Fourth Proportional to 162.22, 223.81 and 106.99

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Solution

The fourth proportional to 162.22, 223.81 and 106.99 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.22 : 223.81 = 106.99 : x
  2. Step 2: Convert to fraction form
    162.22/223.81 = 106.99/x
  3. Step 3: Cross multiply
    162.22x = 223.81 × 106.99
  4. Step 4: Simplify right side
    162.22x = 23,944.31
  5. Step 5: Solve for x
    x = 23,944.31/162.22
  6. Step 6: Final answer
    x = 147.60

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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.