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Finding the Fourth Proportional to 172.64, 238.26 and 106.27

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Solution

The fourth proportional to 172.64, 238.26 and 106.27 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 238.26 = 106.27 : x
  2. Step 2: Convert to fraction form
    172.64/238.26 = 106.27/x
  3. Step 3: Cross multiply
    172.64x = 238.26 × 106.27
  4. Step 4: Simplify right side
    172.64x = 25,318.70
  5. Step 5: Solve for x
    x = 25,318.70/172.64
  6. Step 6: Final answer
    x = 146.66

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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.