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Finding the Fourth Proportional to 172.73, 259.10 and 121.43

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Solution

The fourth proportional to 172.73, 259.10 and 121.43 is: 182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.73 : 259.10 = 121.43 : x
  2. Step 2: Convert to fraction form
    172.73/259.10 = 121.43/x
  3. Step 3: Cross multiply
    172.73x = 259.10 × 121.43
  4. Step 4: Simplify right side
    172.73x = 31,462.51
  5. Step 5: Solve for x
    x = 31,462.51/172.73
  6. Step 6: Final answer
    x = 182.15

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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.