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Finding the Fourth Proportional to 123.67, 185.14 and 75.67

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Solution

The fourth proportional to 123.67, 185.14 and 75.67 is: 113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 185.14 = 75.67 : x
  2. Step 2: Convert to fraction form
    123.67/185.14 = 75.67/x
  3. Step 3: Cross multiply
    123.67x = 185.14 × 75.67
  4. Step 4: Simplify right side
    123.67x = 14,009.54
  5. Step 5: Solve for x
    x = 14,009.54/123.67
  6. Step 6: Final answer
    x = 113.28

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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.