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Finding the Fourth Proportional to 166.05, 249.09 and 57.84

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Solution

The fourth proportional to 166.05, 249.09 and 57.84 is: 86.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.05 : 249.09 = 57.84 : x
  2. Step 2: Convert to fraction form
    166.05/249.09 = 57.84/x
  3. Step 3: Cross multiply
    166.05x = 249.09 × 57.84
  4. Step 4: Simplify right side
    166.05x = 14,407.37
  5. Step 5: Solve for x
    x = 14,407.37/166.05
  6. Step 6: Final answer
    x = 86.77

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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.