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Finding the Fourth Proportional to 137.95, 206.62 and 112.15

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Solution

The fourth proportional to 137.95, 206.62 and 112.15 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 206.62 = 112.15 : x
  2. Step 2: Convert to fraction form
    137.95/206.62 = 112.15/x
  3. Step 3: Cross multiply
    137.95x = 206.62 × 112.15
  4. Step 4: Simplify right side
    137.95x = 23,172.41
  5. Step 5: Solve for x
    x = 23,172.41/137.95
  6. Step 6: Final answer
    x = 167.97

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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.