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Finding the Fourth Proportional to 126.71, 190.29 and 121.01

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Solution

The fourth proportional to 126.71, 190.29 and 121.01 is: 181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.71 : 190.29 = 121.01 : x
  2. Step 2: Convert to fraction form
    126.71/190.29 = 121.01/x
  3. Step 3: Cross multiply
    126.71x = 190.29 × 121.01
  4. Step 4: Simplify right side
    126.71x = 23,026.04
  5. Step 5: Solve for x
    x = 23,026.04/126.71
  6. Step 6: Final answer
    x = 181.73

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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.