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Finding the Fourth Proportional to 137.36, 206.19 and 106.58

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Solution

The fourth proportional to 137.36, 206.19 and 106.58 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 206.19 = 106.58 : x
  2. Step 2: Convert to fraction form
    137.36/206.19 = 106.58/x
  3. Step 3: Cross multiply
    137.36x = 206.19 × 106.58
  4. Step 4: Simplify right side
    137.36x = 21,974.70
  5. Step 5: Solve for x
    x = 21,974.70/137.36
  6. Step 6: Final answer
    x = 159.98

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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.