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Finding the Fourth Proportional to 137.65, 206.50 and 50.98

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Solution

The fourth proportional to 137.65, 206.50 and 50.98 is: 76.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 206.50 = 50.98 : x
  2. Step 2: Convert to fraction form
    137.65/206.50 = 50.98/x
  3. Step 3: Cross multiply
    137.65x = 206.50 × 50.98
  4. Step 4: Simplify right side
    137.65x = 10,527.37
  5. Step 5: Solve for x
    x = 10,527.37/137.65
  6. Step 6: Final answer
    x = 76.48

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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.