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Finding the Fourth Proportional to 172.81, 238.56 and 107.36

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Solution

The fourth proportional to 172.81, 238.56 and 107.36 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 238.56 = 107.36 : x
  2. Step 2: Convert to fraction form
    172.81/238.56 = 107.36/x
  3. Step 3: Cross multiply
    172.81x = 238.56 × 107.36
  4. Step 4: Simplify right side
    172.81x = 25,611.80
  5. Step 5: Solve for x
    x = 25,611.80/172.81
  6. Step 6: Final answer
    x = 148.21

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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.