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Finding the Fourth Proportional to 172.21, 237.70 and 106.68

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Solution

The fourth proportional to 172.21, 237.70 and 106.68 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.21 : 237.70 = 106.68 : x
  2. Step 2: Convert to fraction form
    172.21/237.70 = 106.68/x
  3. Step 3: Cross multiply
    172.21x = 237.70 × 106.68
  4. Step 4: Simplify right side
    172.21x = 25,356.68
  5. Step 5: Solve for x
    x = 25,356.68/172.21
  6. Step 6: Final answer
    x = 147.24

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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.