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Finding the Fourth Proportional to 171.36, 256.44 and 113.32

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Solution

The fourth proportional to 171.36, 256.44 and 113.32 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.36 : 256.44 = 113.32 : x
  2. Step 2: Convert to fraction form
    171.36/256.44 = 113.32/x
  3. Step 3: Cross multiply
    171.36x = 256.44 × 113.32
  4. Step 4: Simplify right side
    171.36x = 29,059.78
  5. Step 5: Solve for x
    x = 29,059.78/171.36
  6. Step 6: Final answer
    x = 169.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.