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Finding the Fourth Proportional to 163.28, 225.45 and 114.06

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Solution

The fourth proportional to 163.28, 225.45 and 114.06 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 225.45 = 114.06 : x
  2. Step 2: Convert to fraction form
    163.28/225.45 = 114.06/x
  3. Step 3: Cross multiply
    163.28x = 225.45 × 114.06
  4. Step 4: Simplify right side
    163.28x = 25,714.83
  5. Step 5: Solve for x
    x = 25,714.83/163.28
  6. Step 6: Final answer
    x = 157.49

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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.