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Finding the Fourth Proportional to 131.46, 197.24 and 54.40

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Solution

The fourth proportional to 131.46, 197.24 and 54.40 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 197.24 = 54.40 : x
  2. Step 2: Convert to fraction form
    131.46/197.24 = 54.40/x
  3. Step 3: Cross multiply
    131.46x = 197.24 × 54.40
  4. Step 4: Simplify right side
    131.46x = 10,729.09
  5. Step 5: Solve for x
    x = 10,729.09/131.46
  6. Step 6: Final answer
    x = 81.61

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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.