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Finding the Fourth Proportional to 137.70, 206.16 and 73.44

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Solution

The fourth proportional to 137.70, 206.16 and 73.44 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 206.16 = 73.44 : x
  2. Step 2: Convert to fraction form
    137.70/206.16 = 73.44/x
  3. Step 3: Cross multiply
    137.70x = 206.16 × 73.44
  4. Step 4: Simplify right side
    137.70x = 15,140.39
  5. Step 5: Solve for x
    x = 15,140.39/137.70
  6. Step 6: Final answer
    x = 109.95

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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.