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Finding the Fourth Proportional to 162.16, 223.60 and 106.82

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Solution

The fourth proportional to 162.16, 223.60 and 106.82 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 223.60 = 106.82 : x
  2. Step 2: Convert to fraction form
    162.16/223.60 = 106.82/x
  3. Step 3: Cross multiply
    162.16x = 223.60 × 106.82
  4. Step 4: Simplify right side
    162.16x = 23,884.95
  5. Step 5: Solve for x
    x = 23,884.95/162.16
  6. Step 6: Final answer
    x = 147.29

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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.