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Finding the Fourth Proportional to 163.66, 245.51 and 82.45

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Solution

The fourth proportional to 163.66, 245.51 and 82.45 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.66 : 245.51 = 82.45 : x
  2. Step 2: Convert to fraction form
    163.66/245.51 = 82.45/x
  3. Step 3: Cross multiply
    163.66x = 245.51 × 82.45
  4. Step 4: Simplify right side
    163.66x = 20,241.89
  5. Step 5: Solve for x
    x = 20,241.89/163.66
  6. Step 6: Final answer
    x = 123.68

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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.