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Finding the Fourth Proportional to 97.92, 135.27 and 78.48

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Solution

The fourth proportional to 97.92, 135.27 and 78.48 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 135.27 = 78.48 : x
  2. Step 2: Convert to fraction form
    97.92/135.27 = 78.48/x
  3. Step 3: Cross multiply
    97.92x = 135.27 × 78.48
  4. Step 4: Simplify right side
    97.92x = 10,615.99
  5. Step 5: Solve for x
    x = 10,615.99/97.92
  6. Step 6: Final answer
    x = 108.41

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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.