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Finding the Fourth Proportional to 103.27, 142.53 and 68.30

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Solution

The fourth proportional to 103.27, 142.53 and 68.30 is: 94.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.27 : 142.53 = 68.30 : x
  2. Step 2: Convert to fraction form
    103.27/142.53 = 68.30/x
  3. Step 3: Cross multiply
    103.27x = 142.53 × 68.30
  4. Step 4: Simplify right side
    103.27x = 9,734.27
  5. Step 5: Solve for x
    x = 9,734.27/103.27
  6. Step 6: Final answer
    x = 94.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.