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Finding the Fourth Proportional to 131.70, 198.01 and 91.30

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Solution

The fourth proportional to 131.70, 198.01 and 91.30 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 198.01 = 91.30 : x
  2. Step 2: Convert to fraction form
    131.70/198.01 = 91.30/x
  3. Step 3: Cross multiply
    131.70x = 198.01 × 91.30
  4. Step 4: Simplify right side
    131.70x = 18,078.31
  5. Step 5: Solve for x
    x = 18,078.31/131.70
  6. Step 6: Final answer
    x = 137.27

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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.