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Finding the Fourth Proportional to 132.68, 183.42 and 113.24

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Solution

The fourth proportional to 132.68, 183.42 and 113.24 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 183.42 = 113.24 : x
  2. Step 2: Convert to fraction form
    132.68/183.42 = 113.24/x
  3. Step 3: Cross multiply
    132.68x = 183.42 × 113.24
  4. Step 4: Simplify right side
    132.68x = 20,770.48
  5. Step 5: Solve for x
    x = 20,770.48/132.68
  6. Step 6: Final answer
    x = 156.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.