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Finding the Fourth Proportional to 137.45, 207.10 and 119.23

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Solution

The fourth proportional to 137.45, 207.10 and 119.23 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 207.10 = 119.23 : x
  2. Step 2: Convert to fraction form
    137.45/207.10 = 119.23/x
  3. Step 3: Cross multiply
    137.45x = 207.10 × 119.23
  4. Step 4: Simplify right side
    137.45x = 24,692.53
  5. Step 5: Solve for x
    x = 24,692.53/137.45
  6. Step 6: Final answer
    x = 179.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.