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Finding the Fourth Proportional to 111.23, 166.81 and 57.14

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Solution

The fourth proportional to 111.23, 166.81 and 57.14 is: 85.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.23 : 166.81 = 57.14 : x
  2. Step 2: Convert to fraction form
    111.23/166.81 = 57.14/x
  3. Step 3: Cross multiply
    111.23x = 166.81 × 57.14
  4. Step 4: Simplify right side
    111.23x = 9,531.52
  5. Step 5: Solve for x
    x = 9,531.52/111.23
  6. Step 6: Final answer
    x = 85.69

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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.