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Finding the Fourth Proportional to 142.97, 213.27 and 126.57

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Solution

The fourth proportional to 142.97, 213.27 and 126.57 is: 188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.97 : 213.27 = 126.57 : x
  2. Step 2: Convert to fraction form
    142.97/213.27 = 126.57/x
  3. Step 3: Cross multiply
    142.97x = 213.27 × 126.57
  4. Step 4: Simplify right side
    142.97x = 26,993.58
  5. Step 5: Solve for x
    x = 26,993.58/142.97
  6. Step 6: Final answer
    x = 188.80

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