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Finding the Fourth Proportional to 166.12, 249.28 and 84.99

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Solution

The fourth proportional to 166.12, 249.28 and 84.99 is: 127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 249.28 = 84.99 : x
  2. Step 2: Convert to fraction form
    166.12/249.28 = 84.99/x
  3. Step 3: Cross multiply
    166.12x = 249.28 × 84.99
  4. Step 4: Simplify right side
    166.12x = 21,186.31
  5. Step 5: Solve for x
    x = 21,186.31/166.12
  6. Step 6: Final answer
    x = 127.54

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