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Finding the Fourth Proportional to 131.54, 197.22 and 50.34

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Solution

The fourth proportional to 131.54, 197.22 and 50.34 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 197.22 = 50.34 : x
  2. Step 2: Convert to fraction form
    131.54/197.22 = 50.34/x
  3. Step 3: Cross multiply
    131.54x = 197.22 × 50.34
  4. Step 4: Simplify right side
    131.54x = 9,928.05
  5. Step 5: Solve for x
    x = 9,928.05/131.54
  6. Step 6: Final answer
    x = 75.47

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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.