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Finding the Fourth Proportional to 166.46, 229.70 and 91.77

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Solution

The fourth proportional to 166.46, 229.70 and 91.77 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.46 : 229.70 = 91.77 : x
  2. Step 2: Convert to fraction form
    166.46/229.70 = 91.77/x
  3. Step 3: Cross multiply
    166.46x = 229.70 × 91.77
  4. Step 4: Simplify right side
    166.46x = 21,079.37
  5. Step 5: Solve for x
    x = 21,079.37/166.46
  6. Step 6: Final answer
    x = 126.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.