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Finding the Fourth Proportional to 172.83, 258.93 and 111.84

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Solution

The fourth proportional to 172.83, 258.93 and 111.84 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.83 : 258.93 = 111.84 : x
  2. Step 2: Convert to fraction form
    172.83/258.93 = 111.84/x
  3. Step 3: Cross multiply
    172.83x = 258.93 × 111.84
  4. Step 4: Simplify right side
    172.83x = 28,958.73
  5. Step 5: Solve for x
    x = 28,958.73/172.83
  6. Step 6: Final answer
    x = 167.56

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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.