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Finding the Fourth Proportional to 161.06, 241.49 and 52.84

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Solution

The fourth proportional to 161.06, 241.49 and 52.84 is: 79.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 241.49 = 52.84 : x
  2. Step 2: Convert to fraction form
    161.06/241.49 = 52.84/x
  3. Step 3: Cross multiply
    161.06x = 241.49 × 52.84
  4. Step 4: Simplify right side
    161.06x = 12,760.33
  5. Step 5: Solve for x
    x = 12,760.33/161.06
  6. Step 6: Final answer
    x = 79.23

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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.