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Finding the Fourth Proportional to 171.20, 236.34 and 112.28

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Solution

The fourth proportional to 171.20, 236.34 and 112.28 is: 154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 236.34 = 112.28 : x
  2. Step 2: Convert to fraction form
    171.20/236.34 = 112.28/x
  3. Step 3: Cross multiply
    171.20x = 236.34 × 112.28
  4. Step 4: Simplify right side
    171.20x = 26,534.80
  5. Step 5: Solve for x
    x = 26,534.80/171.20
  6. Step 6: Final answer
    x = 154.99

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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.