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Finding the Fourth Proportional to 138.83, 191.71 and 106.33

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Solution

The fourth proportional to 138.83, 191.71 and 106.33 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.83 : 191.71 = 106.33 : x
  2. Step 2: Convert to fraction form
    138.83/191.71 = 106.33/x
  3. Step 3: Cross multiply
    138.83x = 191.71 × 106.33
  4. Step 4: Simplify right side
    138.83x = 20,384.52
  5. Step 5: Solve for x
    x = 20,384.52/138.83
  6. Step 6: Final answer
    x = 146.83

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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.