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Finding the Fourth Proportional to 161, 241.67 and 69.74

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Solution

The fourth proportional to 161, 241.67 and 69.74 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 241.67 = 69.74 : x
  2. Step 2: Convert to fraction form
    161/241.67 = 69.74/x
  3. Step 3: Cross multiply
    161x = 241.67 × 69.74
  4. Step 4: Simplify right side
    161x = 16,854.07
  5. Step 5: Solve for x
    x = 16,854.07/161
  6. Step 6: Final answer
    x = 104.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.