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Finding the Fourth Proportional to 172.82, 258.97 and 104.21

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Solution

The fourth proportional to 172.82, 258.97 and 104.21 is: 156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 258.97 = 104.21 : x
  2. Step 2: Convert to fraction form
    172.82/258.97 = 104.21/x
  3. Step 3: Cross multiply
    172.82x = 258.97 × 104.21
  4. Step 4: Simplify right side
    172.82x = 26,987.26
  5. Step 5: Solve for x
    x = 26,987.26/172.82
  6. Step 6: Final answer
    x = 156.16

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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.