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Finding the Fourth Proportional to 141.37, 193.90 and 137.45

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Solution

The fourth proportional to 141.37, 193.90 and 137.45 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.37 : 193.90 = 137.45 : x
  2. Step 2: Convert to fraction form
    141.37/193.90 = 137.45/x
  3. Step 3: Cross multiply
    141.37x = 193.90 × 137.45
  4. Step 4: Simplify right side
    141.37x = 26,651.56
  5. Step 5: Solve for x
    x = 26,651.56/141.37
  6. Step 6: Final answer
    x = 188.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.