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Finding the Fourth Proportional to 131.81, 198.72 and 111.66

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Solution

The fourth proportional to 131.81, 198.72 and 111.66 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.81 : 198.72 = 111.66 : x
  2. Step 2: Convert to fraction form
    131.81/198.72 = 111.66/x
  3. Step 3: Cross multiply
    131.81x = 198.72 × 111.66
  4. Step 4: Simplify right side
    131.81x = 22,189.08
  5. Step 5: Solve for x
    x = 22,189.08/131.81
  6. Step 6: Final answer
    x = 168.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.