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Finding the Fourth Proportional to 137.70, 207.09 and 116.10

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Solution

The fourth proportional to 137.70, 207.09 and 116.10 is: 174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 207.09 = 116.10 : x
  2. Step 2: Convert to fraction form
    137.70/207.09 = 116.10/x
  3. Step 3: Cross multiply
    137.70x = 207.09 × 116.10
  4. Step 4: Simplify right side
    137.70x = 24,043.15
  5. Step 5: Solve for x
    x = 24,043.15/137.70
  6. Step 6: Final answer
    x = 174.61

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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.