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Finding the Fourth Proportional to 137.81, 206.80 and 73.69

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Solution

The fourth proportional to 137.81, 206.80 and 73.69 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 206.80 = 73.69 : x
  2. Step 2: Convert to fraction form
    137.81/206.80 = 73.69/x
  3. Step 3: Cross multiply
    137.81x = 206.80 × 73.69
  4. Step 4: Simplify right side
    137.81x = 15,238.39
  5. Step 5: Solve for x
    x = 15,238.39/137.81
  6. Step 6: Final answer
    x = 110.57

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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.