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Finding the Fourth Proportional to 172.43, 238 and 106.90

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Solution

The fourth proportional to 172.43, 238 and 106.90 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.43 : 238 = 106.90 : x
  2. Step 2: Convert to fraction form
    172.43/238 = 106.90/x
  3. Step 3: Cross multiply
    172.43x = 238 × 106.90
  4. Step 4: Simplify right side
    172.43x = 25,441.01
  5. Step 5: Solve for x
    x = 25,441.01/172.43
  6. Step 6: Final answer
    x = 147.54

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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.