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Finding the Fourth Proportional to 142.73, 214.27 and 74.30

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Solution

The fourth proportional to 142.73, 214.27 and 74.30 is: 111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.73 : 214.27 = 74.30 : x
  2. Step 2: Convert to fraction form
    142.73/214.27 = 74.30/x
  3. Step 3: Cross multiply
    142.73x = 214.27 × 74.30
  4. Step 4: Simplify right side
    142.73x = 15,919.19
  5. Step 5: Solve for x
    x = 15,919.19/142.73
  6. Step 6: Final answer
    x = 111.54

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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.