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Finding the Fourth Proportional to 163.49, 245.30 and 55.22

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Solution

The fourth proportional to 163.49, 245.30 and 55.22 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.49 : 245.30 = 55.22 : x
  2. Step 2: Convert to fraction form
    163.49/245.30 = 55.22/x
  3. Step 3: Cross multiply
    163.49x = 245.30 × 55.22
  4. Step 4: Simplify right side
    163.49x = 13,543.96
  5. Step 5: Solve for x
    x = 13,543.96/163.49
  6. Step 6: Final answer
    x = 82.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.