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Finding the Fourth Proportional to 172.83, 238.23 and 120.45

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Solution

The fourth proportional to 172.83, 238.23 and 120.45 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.83 : 238.23 = 120.45 : x
  2. Step 2: Convert to fraction form
    172.83/238.23 = 120.45/x
  3. Step 3: Cross multiply
    172.83x = 238.23 × 120.45
  4. Step 4: Simplify right side
    172.83x = 28,694.80
  5. Step 5: Solve for x
    x = 28,694.80/172.83
  6. Step 6: Final answer
    x = 166.03

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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.