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Finding the Fourth Proportional to 142.94, 214.12 and 84.99

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Solution

The fourth proportional to 142.94, 214.12 and 84.99 is: 127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 214.12 = 84.99 : x
  2. Step 2: Convert to fraction form
    142.94/214.12 = 84.99/x
  3. Step 3: Cross multiply
    142.94x = 214.12 × 84.99
  4. Step 4: Simplify right side
    142.94x = 18,198.97
  5. Step 5: Solve for x
    x = 18,198.97/142.94
  6. Step 6: Final answer
    x = 127.32

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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.