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Finding the Fourth Proportional to 110.93, 166.43 and 45.94

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Solution

The fourth proportional to 110.93, 166.43 and 45.94 is: 68.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.93 : 166.43 = 45.94 : x
  2. Step 2: Convert to fraction form
    110.93/166.43 = 45.94/x
  3. Step 3: Cross multiply
    110.93x = 166.43 × 45.94
  4. Step 4: Simplify right side
    110.93x = 7,645.79
  5. Step 5: Solve for x
    x = 7,645.79/110.93
  6. Step 6: Final answer
    x = 68.92

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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.