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Finding the Fourth Proportional to 103.27, 142.62 and 70.46

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Solution

The fourth proportional to 103.27, 142.62 and 70.46 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.27 : 142.62 = 70.46 : x
  2. Step 2: Convert to fraction form
    103.27/142.62 = 70.46/x
  3. Step 3: Cross multiply
    103.27x = 142.62 × 70.46
  4. Step 4: Simplify right side
    103.27x = 10,049.01
  5. Step 5: Solve for x
    x = 10,049.01/103.27
  6. Step 6: Final answer
    x = 97.31

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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.