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Finding the Fourth Proportional to 111.40, 166.89 and 75.27

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Solution

The fourth proportional to 111.40, 166.89 and 75.27 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.40 : 166.89 = 75.27 : x
  2. Step 2: Convert to fraction form
    111.40/166.89 = 75.27/x
  3. Step 3: Cross multiply
    111.40x = 166.89 × 75.27
  4. Step 4: Simplify right side
    111.40x = 12,561.81
  5. Step 5: Solve for x
    x = 12,561.81/111.40
  6. Step 6: Final answer
    x = 112.76

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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.