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Finding the Fourth Proportional to 136.24, 203.96 and 114.48

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Solution

The fourth proportional to 136.24, 203.96 and 114.48 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 203.96 = 114.48 : x
  2. Step 2: Convert to fraction form
    136.24/203.96 = 114.48/x
  3. Step 3: Cross multiply
    136.24x = 203.96 × 114.48
  4. Step 4: Simplify right side
    136.24x = 23,349.34
  5. Step 5: Solve for x
    x = 23,349.34/136.24
  6. Step 6: Final answer
    x = 171.38

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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.