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Finding the Fourth Proportional to 166.54, 249.77 and 52.54

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Solution

The fourth proportional to 166.54, 249.77 and 52.54 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 249.77 = 52.54 : x
  2. Step 2: Convert to fraction form
    166.54/249.77 = 52.54/x
  3. Step 3: Cross multiply
    166.54x = 249.77 × 52.54
  4. Step 4: Simplify right side
    166.54x = 13,122.92
  5. Step 5: Solve for x
    x = 13,122.92/166.54
  6. Step 6: Final answer
    x = 78.80

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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.