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Finding the Fourth Proportional to 163.84, 226.05 and 98.32

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Solution

The fourth proportional to 163.84, 226.05 and 98.32 is: 135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 226.05 = 98.32 : x
  2. Step 2: Convert to fraction form
    163.84/226.05 = 98.32/x
  3. Step 3: Cross multiply
    163.84x = 226.05 × 98.32
  4. Step 4: Simplify right side
    163.84x = 22,225.24
  5. Step 5: Solve for x
    x = 22,225.24/163.84
  6. Step 6: Final answer
    x = 135.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.