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Finding the Fourth Proportional to 137.13, 205.23 and 106.83

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Solution

The fourth proportional to 137.13, 205.23 and 106.83 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 205.23 = 106.83 : x
  2. Step 2: Convert to fraction form
    137.13/205.23 = 106.83/x
  3. Step 3: Cross multiply
    137.13x = 205.23 × 106.83
  4. Step 4: Simplify right side
    137.13x = 21,924.83
  5. Step 5: Solve for x
    x = 21,924.83/137.13
  6. Step 6: Final answer
    x = 159.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.