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Finding the Fourth Proportional to 172.38, 237.77 and 106.82

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Solution

The fourth proportional to 172.38, 237.77 and 106.82 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 237.77 = 106.82 : x
  2. Step 2: Convert to fraction form
    172.38/237.77 = 106.82/x
  3. Step 3: Cross multiply
    172.38x = 237.77 × 106.82
  4. Step 4: Simplify right side
    172.38x = 25,397.40
  5. Step 5: Solve for x
    x = 25,397.40/172.38
  6. Step 6: Final answer
    x = 147.33

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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.