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Finding the Fourth Proportional to 131.40, 197 and 80.06

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Solution

The fourth proportional to 131.40, 197 and 80.06 is: 120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.40 : 197 = 80.06 : x
  2. Step 2: Convert to fraction form
    131.40/197 = 80.06/x
  3. Step 3: Cross multiply
    131.40x = 197 × 80.06
  4. Step 4: Simplify right side
    131.40x = 15,771.82
  5. Step 5: Solve for x
    x = 15,771.82/131.40
  6. Step 6: Final answer
    x = 120.03

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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.