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Finding the Fourth Proportional to 137.99, 206.96 and 46.69

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Solution

The fourth proportional to 137.99, 206.96 and 46.69 is: 70.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.99 : 206.96 = 46.69 : x
  2. Step 2: Convert to fraction form
    137.99/206.96 = 46.69/x
  3. Step 3: Cross multiply
    137.99x = 206.96 × 46.69
  4. Step 4: Simplify right side
    137.99x = 9,662.56
  5. Step 5: Solve for x
    x = 9,662.56/137.99
  6. Step 6: Final answer
    x = 70.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.