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Finding the Fourth Proportional to 172.58, 238.21 and 113.60

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Solution

The fourth proportional to 172.58, 238.21 and 113.60 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.58 : 238.21 = 113.60 : x
  2. Step 2: Convert to fraction form
    172.58/238.21 = 113.60/x
  3. Step 3: Cross multiply
    172.58x = 238.21 × 113.60
  4. Step 4: Simplify right side
    172.58x = 27,060.97
  5. Step 5: Solve for x
    x = 27,060.97/172.58
  6. Step 6: Final answer
    x = 156.81

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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.