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Finding the Fourth Proportional to 163.59, 225.83 and 111.41

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Solution

The fourth proportional to 163.59, 225.83 and 111.41 is: 153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.59 : 225.83 = 111.41 : x
  2. Step 2: Convert to fraction form
    163.59/225.83 = 111.41/x
  3. Step 3: Cross multiply
    163.59x = 225.83 × 111.41
  4. Step 4: Simplify right side
    163.59x = 25,159.72
  5. Step 5: Solve for x
    x = 25,159.72/163.59
  6. Step 6: Final answer
    x = 153.80

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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.