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Finding the Fourth Proportional to 132.44, 199.52 and 121.16

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Solution

The fourth proportional to 132.44, 199.52 and 121.16 is: 182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.44 : 199.52 = 121.16 : x
  2. Step 2: Convert to fraction form
    132.44/199.52 = 121.16/x
  3. Step 3: Cross multiply
    132.44x = 199.52 × 121.16
  4. Step 4: Simplify right side
    132.44x = 24,173.24
  5. Step 5: Solve for x
    x = 24,173.24/132.44
  6. Step 6: Final answer
    x = 182.53

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Why These Related Problems?

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