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Finding the Fourth Proportional to 137.21, 205.65 and 106.68

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Solution

The fourth proportional to 137.21, 205.65 and 106.68 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.21 : 205.65 = 106.68 : x
  2. Step 2: Convert to fraction form
    137.21/205.65 = 106.68/x
  3. Step 3: Cross multiply
    137.21x = 205.65 × 106.68
  4. Step 4: Simplify right side
    137.21x = 21,937.71
  5. Step 5: Solve for x
    x = 21,937.71/137.21
  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.