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Finding the Fourth Proportional to 137.68, 190.24 and 106.56

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Solution

The fourth proportional to 137.68, 190.24 and 106.56 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 190.24 = 106.56 : x
  2. Step 2: Convert to fraction form
    137.68/190.24 = 106.56/x
  3. Step 3: Cross multiply
    137.68x = 190.24 × 106.56
  4. Step 4: Simplify right side
    137.68x = 20,271.97
  5. Step 5: Solve for x
    x = 20,271.97/137.68
  6. Step 6: Final answer
    x = 147.24

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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.