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Finding the Fourth Proportional to 143.28, 214.47 and 107.28

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Solution

The fourth proportional to 143.28, 214.47 and 107.28 is: 160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.28 : 214.47 = 107.28 : x
  2. Step 2: Convert to fraction form
    143.28/214.47 = 107.28/x
  3. Step 3: Cross multiply
    143.28x = 214.47 × 107.28
  4. Step 4: Simplify right side
    143.28x = 23,008.34
  5. Step 5: Solve for x
    x = 23,008.34/143.28
  6. Step 6: Final answer
    x = 160.58

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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.