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Finding the Fourth Proportional to 166.60, 249.74 and 105.76

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Solution

The fourth proportional to 166.60, 249.74 and 105.76 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 249.74 = 105.76 : x
  2. Step 2: Convert to fraction form
    166.60/249.74 = 105.76/x
  3. Step 3: Cross multiply
    166.60x = 249.74 × 105.76
  4. Step 4: Simplify right side
    166.60x = 26,412.50
  5. Step 5: Solve for x
    x = 26,412.50/166.60
  6. Step 6: Final answer
    x = 158.54

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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.