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Finding the Fourth Proportional to 163.29, 225.51 and 111.07

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Solution

The fourth proportional to 163.29, 225.51 and 111.07 is: 153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 225.51 = 111.07 : x
  2. Step 2: Convert to fraction form
    163.29/225.51 = 111.07/x
  3. Step 3: Cross multiply
    163.29x = 225.51 × 111.07
  4. Step 4: Simplify right side
    163.29x = 25,046.27
  5. Step 5: Solve for x
    x = 25,046.27/163.29
  6. Step 6: Final answer
    x = 153.39

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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.