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Finding the Fourth Proportional to 166.07, 248.65 and 84.52

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Solution

The fourth proportional to 166.07, 248.65 and 84.52 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.07 : 248.65 = 84.52 : x
  2. Step 2: Convert to fraction form
    166.07/248.65 = 84.52/x
  3. Step 3: Cross multiply
    166.07x = 248.65 × 84.52
  4. Step 4: Simplify right side
    166.07x = 21,014.87
  5. Step 5: Solve for x
    x = 21,014.87/166.07
  6. Step 6: Final answer
    x = 126.54

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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.