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Finding the Fourth Proportional to 172.18, 237.36 and 106.57

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Solution

The fourth proportional to 172.18, 237.36 and 106.57 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.18 : 237.36 = 106.57 : x
  2. Step 2: Convert to fraction form
    172.18/237.36 = 106.57/x
  3. Step 3: Cross multiply
    172.18x = 237.36 × 106.57
  4. Step 4: Simplify right side
    172.18x = 25,295.46
  5. Step 5: Solve for x
    x = 25,295.46/172.18
  6. Step 6: Final answer
    x = 146.91

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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.