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Finding the Fourth Proportional to 110.94, 166.50 and 62.88

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Solution

The fourth proportional to 110.94, 166.50 and 62.88 is: 94.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 166.50 = 62.88 : x
  2. Step 2: Convert to fraction form
    110.94/166.50 = 62.88/x
  3. Step 3: Cross multiply
    110.94x = 166.50 × 62.88
  4. Step 4: Simplify right side
    110.94x = 10,469.52
  5. Step 5: Solve for x
    x = 10,469.52/110.94
  6. Step 6: Final answer
    x = 94.37

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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.