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Finding the Fourth Proportional to 131.32, 197.22 and 110.80

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Solution

The fourth proportional to 131.32, 197.22 and 110.80 is: 166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.32 : 197.22 = 110.80 : x
  2. Step 2: Convert to fraction form
    131.32/197.22 = 110.80/x
  3. Step 3: Cross multiply
    131.32x = 197.22 × 110.80
  4. Step 4: Simplify right side
    131.32x = 21,851.98
  5. Step 5: Solve for x
    x = 21,851.98/131.32
  6. Step 6: Final answer
    x = 166.40

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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.