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Finding the Fourth Proportional to 172.31, 237.70 and 106.77

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Solution

The fourth proportional to 172.31, 237.70 and 106.77 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.31 : 237.70 = 106.77 : x
  2. Step 2: Convert to fraction form
    172.31/237.70 = 106.77/x
  3. Step 3: Cross multiply
    172.31x = 237.70 × 106.77
  4. Step 4: Simplify right side
    172.31x = 25,379.23
  5. Step 5: Solve for x
    x = 25,379.23/172.31
  6. Step 6: Final answer
    x = 147.29

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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.