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Finding the Fourth Proportional to 142.30, 213.52 and 108.28

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Solution

The fourth proportional to 142.30, 213.52 and 108.28 is: 162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.30 : 213.52 = 108.28 : x
  2. Step 2: Convert to fraction form
    142.30/213.52 = 108.28/x
  3. Step 3: Cross multiply
    142.30x = 213.52 × 108.28
  4. Step 4: Simplify right side
    142.30x = 23,119.95
  5. Step 5: Solve for x
    x = 23,119.95/142.30
  6. Step 6: Final answer
    x = 162.47

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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.