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Finding the Fourth Proportional to 172.41, 237.87 and 106.05

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Solution

The fourth proportional to 172.41, 237.87 and 106.05 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.41 : 237.87 = 106.05 : x
  2. Step 2: Convert to fraction form
    172.41/237.87 = 106.05/x
  3. Step 3: Cross multiply
    172.41x = 237.87 × 106.05
  4. Step 4: Simplify right side
    172.41x = 25,226.11
  5. Step 5: Solve for x
    x = 25,226.11/172.41
  6. Step 6: Final answer
    x = 146.31

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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.