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Finding the Fourth Proportional to 142.25, 213.35 and 84.45

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Solution

The fourth proportional to 142.25, 213.35 and 84.45 is: 126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.25 : 213.35 = 84.45 : x
  2. Step 2: Convert to fraction form
    142.25/213.35 = 84.45/x
  3. Step 3: Cross multiply
    142.25x = 213.35 × 84.45
  4. Step 4: Simplify right side
    142.25x = 18,016.99
  5. Step 5: Solve for x
    x = 18,016.99/142.25
  6. Step 6: Final answer
    x = 126.65

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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.