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Finding the Fourth Proportional to 132.24, 181.50 and 126.24

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Solution

The fourth proportional to 132.24, 181.50 and 126.24 is: 173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.24 : 181.50 = 126.24 : x
  2. Step 2: Convert to fraction form
    132.24/181.50 = 126.24/x
  3. Step 3: Cross multiply
    132.24x = 181.50 × 126.24
  4. Step 4: Simplify right side
    132.24x = 22,912.56
  5. Step 5: Solve for x
    x = 22,912.56/132.24
  6. Step 6: Final answer
    x = 173.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.