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Finding the Fourth Proportional to 172.26, 237.76 and 106.72

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Solution

The fourth proportional to 172.26, 237.76 and 106.72 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 237.76 = 106.72 : x
  2. Step 2: Convert to fraction form
    172.26/237.76 = 106.72/x
  3. Step 3: Cross multiply
    172.26x = 237.76 × 106.72
  4. Step 4: Simplify right side
    172.26x = 25,374.64
  5. Step 5: Solve for x
    x = 25,374.64/172.26
  6. Step 6: Final answer
    x = 147.31

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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.