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Finding the Fourth Proportional to 161.94, 223.48 and 106.77

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Solution

The fourth proportional to 161.94, 223.48 and 106.77 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.94 : 223.48 = 106.77 : x
  2. Step 2: Convert to fraction form
    161.94/223.48 = 106.77/x
  3. Step 3: Cross multiply
    161.94x = 223.48 × 106.77
  4. Step 4: Simplify right side
    161.94x = 23,860.43
  5. Step 5: Solve for x
    x = 23,860.43/161.94
  6. Step 6: Final answer
    x = 147.34

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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.