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Finding the Fourth Proportional to 138.36, 191 and 105.72

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Solution

The fourth proportional to 138.36, 191 and 105.72 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.36 : 191 = 105.72 : x
  2. Step 2: Convert to fraction form
    138.36/191 = 105.72/x
  3. Step 3: Cross multiply
    138.36x = 191 × 105.72
  4. Step 4: Simplify right side
    138.36x = 20,192.52
  5. Step 5: Solve for x
    x = 20,192.52/138.36
  6. Step 6: Final answer
    x = 145.94

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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.