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Finding the Fourth Proportional to 137.18, 205.75 and 120.07

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Solution

The fourth proportional to 137.18, 205.75 and 120.07 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 205.75 = 120.07 : x
  2. Step 2: Convert to fraction form
    137.18/205.75 = 120.07/x
  3. Step 3: Cross multiply
    137.18x = 205.75 × 120.07
  4. Step 4: Simplify right side
    137.18x = 24,704.40
  5. Step 5: Solve for x
    x = 24,704.40/137.18
  6. Step 6: Final answer
    x = 180.09

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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.