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Finding the Fourth Proportional to 137.12, 205.55 and 104.67

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Solution

The fourth proportional to 137.12, 205.55 and 104.67 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 205.55 = 104.67 : x
  2. Step 2: Convert to fraction form
    137.12/205.55 = 104.67/x
  3. Step 3: Cross multiply
    137.12x = 205.55 × 104.67
  4. Step 4: Simplify right side
    137.12x = 21,514.40
  5. Step 5: Solve for x
    x = 21,514.40/137.12
  6. Step 6: Final answer
    x = 156.91

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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.