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Finding the Fourth Proportional to 97.24, 146.41 and 85.90

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Solution

The fourth proportional to 97.24, 146.41 and 85.90 is: 129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 146.41 = 85.90 : x
  2. Step 2: Convert to fraction form
    97.24/146.41 = 85.90/x
  3. Step 3: Cross multiply
    97.24x = 146.41 × 85.90
  4. Step 4: Simplify right side
    97.24x = 12,576.62
  5. Step 5: Solve for x
    x = 12,576.62/97.24
  6. Step 6: Final answer
    x = 129.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.