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Finding the Fourth Proportional to 126.69, 174.92 and 85.23

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Solution

The fourth proportional to 126.69, 174.92 and 85.23 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.69 : 174.92 = 85.23 : x
  2. Step 2: Convert to fraction form
    126.69/174.92 = 85.23/x
  3. Step 3: Cross multiply
    126.69x = 174.92 × 85.23
  4. Step 4: Simplify right side
    126.69x = 14,908.01
  5. Step 5: Solve for x
    x = 14,908.01/126.69
  6. Step 6: Final answer
    x = 117.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.