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Finding the Fourth Proportional to 133.44, 184.16 and 83.64

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Solution

The fourth proportional to 133.44, 184.16 and 83.64 is: 115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 184.16 = 83.64 : x
  2. Step 2: Convert to fraction form
    133.44/184.16 = 83.64/x
  3. Step 3: Cross multiply
    133.44x = 184.16 × 83.64
  4. Step 4: Simplify right side
    133.44x = 15,403.14
  5. Step 5: Solve for x
    x = 15,403.14/133.44
  6. Step 6: Final answer
    x = 115.43

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Why These Related Problems?

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