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Finding the Fourth Proportional to 163.53, 225.27 and 114.24

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Solution

The fourth proportional to 163.53, 225.27 and 114.24 is: 157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.53 : 225.27 = 114.24 : x
  2. Step 2: Convert to fraction form
    163.53/225.27 = 114.24/x
  3. Step 3: Cross multiply
    163.53x = 225.27 × 114.24
  4. Step 4: Simplify right side
    163.53x = 25,734.84
  5. Step 5: Solve for x
    x = 25,734.84/163.53
  6. Step 6: Final answer
    x = 157.37

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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.