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Finding the Fourth Proportional to 131.26, 197.10 and 111.10

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Solution

The fourth proportional to 131.26, 197.10 and 111.10 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.26 : 197.10 = 111.10 : x
  2. Step 2: Convert to fraction form
    131.26/197.10 = 111.10/x
  3. Step 3: Cross multiply
    131.26x = 197.10 × 111.10
  4. Step 4: Simplify right side
    131.26x = 21,897.81
  5. Step 5: Solve for x
    x = 21,897.81/131.26
  6. Step 6: Final answer
    x = 166.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.