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Finding the Fourth Proportional to 110.93, 166.23 and 96.48

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Solution

The fourth proportional to 110.93, 166.23 and 96.48 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.93 : 166.23 = 96.48 : x
  2. Step 2: Convert to fraction form
    110.93/166.23 = 96.48/x
  3. Step 3: Cross multiply
    110.93x = 166.23 × 96.48
  4. Step 4: Simplify right side
    110.93x = 16,037.87
  5. Step 5: Solve for x
    x = 16,037.87/110.93
  6. Step 6: Final answer
    x = 144.58

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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.