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Finding the Fourth Proportional to 172.23, 237.71 and 106.76

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Solution

The fourth proportional to 172.23, 237.71 and 106.76 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 237.71 = 106.76 : x
  2. Step 2: Convert to fraction form
    172.23/237.71 = 106.76/x
  3. Step 3: Cross multiply
    172.23x = 237.71 × 106.76
  4. Step 4: Simplify right side
    172.23x = 25,377.29
  5. Step 5: Solve for x
    x = 25,377.29/172.23
  6. Step 6: Final answer
    x = 147.34

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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.