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Finding the Fourth Proportional to 110.99, 166.38 and 85.28

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Solution

The fourth proportional to 110.99, 166.38 and 85.28 is: 127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.99 : 166.38 = 85.28 : x
  2. Step 2: Convert to fraction form
    110.99/166.38 = 85.28/x
  3. Step 3: Cross multiply
    110.99x = 166.38 × 85.28
  4. Step 4: Simplify right side
    110.99x = 14,188.05
  5. Step 5: Solve for x
    x = 14,188.05/110.99
  6. Step 6: Final answer
    x = 127.84

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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.