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Finding the Fourth Proportional to 138.74, 191.64 and 105.92

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Solution

The fourth proportional to 138.74, 191.64 and 105.92 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.74 : 191.64 = 105.92 : x
  2. Step 2: Convert to fraction form
    138.74/191.64 = 105.92/x
  3. Step 3: Cross multiply
    138.74x = 191.64 × 105.92
  4. Step 4: Simplify right side
    138.74x = 20,298.51
  5. Step 5: Solve for x
    x = 20,298.51/138.74
  6. Step 6: Final answer
    x = 146.31

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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.