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Finding the Fourth Proportional to 142.24, 195.26 and 137.38

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Solution

The fourth proportional to 142.24, 195.26 and 137.38 is: 188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 195.26 = 137.38 : x
  2. Step 2: Convert to fraction form
    142.24/195.26 = 137.38/x
  3. Step 3: Cross multiply
    142.24x = 195.26 × 137.38
  4. Step 4: Simplify right side
    142.24x = 26,824.82
  5. Step 5: Solve for x
    x = 26,824.82/142.24
  6. Step 6: Final answer
    x = 188.59

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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.