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Finding the Fourth Proportional to 125.31, 186.99 and 111.69

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Solution

The fourth proportional to 125.31, 186.99 and 111.69 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.31 : 186.99 = 111.69 : x
  2. Step 2: Convert to fraction form
    125.31/186.99 = 111.69/x
  3. Step 3: Cross multiply
    125.31x = 186.99 × 111.69
  4. Step 4: Simplify right side
    125.31x = 20,884.91
  5. Step 5: Solve for x
    x = 20,884.91/125.31
  6. Step 6: Final answer
    x = 166.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.