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Finding the Fourth Proportional to 137.87, 206.84 and 97.37

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Solution

The fourth proportional to 137.87, 206.84 and 97.37 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.87 : 206.84 = 97.37 : x
  2. Step 2: Convert to fraction form
    137.87/206.84 = 97.37/x
  3. Step 3: Cross multiply
    137.87x = 206.84 × 97.37
  4. Step 4: Simplify right side
    137.87x = 20,139.45
  5. Step 5: Solve for x
    x = 20,139.45/137.87
  6. Step 6: Final answer
    x = 146.08

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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.