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Finding the Fourth Proportional to 111.40, 166.94 and 50.52

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Solution

The fourth proportional to 111.40, 166.94 and 50.52 is: 75.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 166.94 = 50.52 : x
  2. Step 2: Convert to fraction form
    111.40/166.94 = 50.52/x
  3. Step 3: Cross multiply
    111.40x = 166.94 × 50.52
  4. Step 4: Simplify right side
    111.40x = 8,433.81
  5. Step 5: Solve for x
    x = 8,433.81/111.40
  6. Step 6: Final answer
    x = 75.71

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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.