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Finding the Fourth Proportional to 163.60, 225.72 and 98.06

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Solution

The fourth proportional to 163.60, 225.72 and 98.06 is: 135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.60 : 225.72 = 98.06 : x
  2. Step 2: Convert to fraction form
    163.60/225.72 = 98.06/x
  3. Step 3: Cross multiply
    163.60x = 225.72 × 98.06
  4. Step 4: Simplify right side
    163.60x = 22,134.10
  5. Step 5: Solve for x
    x = 22,134.10/163.60
  6. Step 6: Final answer
    x = 135.29

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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.