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Finding the Fourth Proportional to 133.12, 182.78 and 112.31

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Solution

The fourth proportional to 133.12, 182.78 and 112.31 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.12 : 182.78 = 112.31 : x
  2. Step 2: Convert to fraction form
    133.12/182.78 = 112.31/x
  3. Step 3: Cross multiply
    133.12x = 182.78 × 112.31
  4. Step 4: Simplify right side
    133.12x = 20,528.48
  5. Step 5: Solve for x
    x = 20,528.48/133.12
  6. Step 6: Final answer
    x = 154.21

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Why These Related Problems?

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