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Finding the Fourth Proportional to 162.06, 223.77 and 106.05

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Solution

The fourth proportional to 162.06, 223.77 and 106.05 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.06 : 223.77 = 106.05 : x
  2. Step 2: Convert to fraction form
    162.06/223.77 = 106.05/x
  3. Step 3: Cross multiply
    162.06x = 223.77 × 106.05
  4. Step 4: Simplify right side
    162.06x = 23,730.81
  5. Step 5: Solve for x
    x = 23,730.81/162.06
  6. Step 6: Final answer
    x = 146.43

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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.