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Finding the Fourth Proportional to 137.37, 206.12 and 76.53

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Solution

The fourth proportional to 137.37, 206.12 and 76.53 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.37 : 206.12 = 76.53 : x
  2. Step 2: Convert to fraction form
    137.37/206.12 = 76.53/x
  3. Step 3: Cross multiply
    137.37x = 206.12 × 76.53
  4. Step 4: Simplify right side
    137.37x = 15,775.33
  5. Step 5: Solve for x
    x = 15,775.33/137.37
  6. Step 6: Final answer
    x = 114.84

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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.