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Finding the Fourth Proportional to 162.11, 223.54 and 105.95

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Solution

The fourth proportional to 162.11, 223.54 and 105.95 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.11 : 223.54 = 105.95 : x
  2. Step 2: Convert to fraction form
    162.11/223.54 = 105.95/x
  3. Step 3: Cross multiply
    162.11x = 223.54 × 105.95
  4. Step 4: Simplify right side
    162.11x = 23,684.36
  5. Step 5: Solve for x
    x = 23,684.36/162.11
  6. Step 6: Final answer
    x = 146.10

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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.