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Finding the Fourth Proportional to 131.63, 197.64 and 86.27

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Solution

The fourth proportional to 131.63, 197.64 and 86.27 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 197.64 = 86.27 : x
  2. Step 2: Convert to fraction form
    131.63/197.64 = 86.27/x
  3. Step 3: Cross multiply
    131.63x = 197.64 × 86.27
  4. Step 4: Simplify right side
    131.63x = 17,049.41
  5. Step 5: Solve for x
    x = 17,049.41/131.63
  6. Step 6: Final answer
    x = 129.53

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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.