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Finding the Fourth Proportional to 126.99, 189.97 and 86.29

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Solution

The fourth proportional to 126.99, 189.97 and 86.29 is: 129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.99 : 189.97 = 86.29 : x
  2. Step 2: Convert to fraction form
    126.99/189.97 = 86.29/x
  3. Step 3: Cross multiply
    126.99x = 189.97 × 86.29
  4. Step 4: Simplify right side
    126.99x = 16,391.82
  5. Step 5: Solve for x
    x = 16,391.82/126.99
  6. Step 6: Final answer
    x = 129.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.