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Finding the Fourth Proportional to 137.24, 205.48 and 116.68

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Solution

The fourth proportional to 137.24, 205.48 and 116.68 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 205.48 = 116.68 : x
  2. Step 2: Convert to fraction form
    137.24/205.48 = 116.68/x
  3. Step 3: Cross multiply
    137.24x = 205.48 × 116.68
  4. Step 4: Simplify right side
    137.24x = 23,975.41
  5. Step 5: Solve for x
    x = 23,975.41/137.24
  6. Step 6: Final answer
    x = 174.70

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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.