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Finding the Fourth Proportional to 132.79, 183.31 and 103.22

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Solution

The fourth proportional to 132.79, 183.31 and 103.22 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.79 : 183.31 = 103.22 : x
  2. Step 2: Convert to fraction form
    132.79/183.31 = 103.22/x
  3. Step 3: Cross multiply
    132.79x = 183.31 × 103.22
  4. Step 4: Simplify right side
    132.79x = 18,921.26
  5. Step 5: Solve for x
    x = 18,921.26/132.79
  6. Step 6: Final answer
    x = 142.49

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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.