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Finding the Fourth Proportional to 137.16, 205.44 and 120.96

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Solution

The fourth proportional to 137.16, 205.44 and 120.96 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 205.44 = 120.96 : x
  2. Step 2: Convert to fraction form
    137.16/205.44 = 120.96/x
  3. Step 3: Cross multiply
    137.16x = 205.44 × 120.96
  4. Step 4: Simplify right side
    137.16x = 24,850.02
  5. Step 5: Solve for x
    x = 24,850.02/137.16
  6. Step 6: Final answer
    x = 181.18

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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.