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Finding the Fourth Proportional to 138.58, 191.37 and 105.82

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Solution

The fourth proportional to 138.58, 191.37 and 105.82 is: 146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 191.37 = 105.82 : x
  2. Step 2: Convert to fraction form
    138.58/191.37 = 105.82/x
  3. Step 3: Cross multiply
    138.58x = 191.37 × 105.82
  4. Step 4: Simplify right side
    138.58x = 20,250.77
  5. Step 5: Solve for x
    x = 20,250.77/138.58
  6. Step 6: Final answer
    x = 146.13

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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.