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Finding the Fourth Proportional to 172.49, 238.01 and 98.81

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Solution

The fourth proportional to 172.49, 238.01 and 98.81 is: 136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.49 : 238.01 = 98.81 : x
  2. Step 2: Convert to fraction form
    172.49/238.01 = 98.81/x
  3. Step 3: Cross multiply
    172.49x = 238.01 × 98.81
  4. Step 4: Simplify right side
    172.49x = 23,517.77
  5. Step 5: Solve for x
    x = 23,517.77/172.49
  6. Step 6: Final answer
    x = 136.34

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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.