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Finding the Fourth Proportional to 170.44, 234.90 and 137.68

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Solution

The fourth proportional to 170.44, 234.90 and 137.68 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.44 : 234.90 = 137.68 : x
  2. Step 2: Convert to fraction form
    170.44/234.90 = 137.68/x
  3. Step 3: Cross multiply
    170.44x = 234.90 × 137.68
  4. Step 4: Simplify right side
    170.44x = 32,341.03
  5. Step 5: Solve for x
    x = 32,341.03/170.44
  6. Step 6: Final answer
    x = 189.75

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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.