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Finding the Fourth Proportional to 97.54, 146.31 and 85.93

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Solution

The fourth proportional to 97.54, 146.31 and 85.93 is: 128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.54 : 146.31 = 85.93 : x
  2. Step 2: Convert to fraction form
    97.54/146.31 = 85.93/x
  3. Step 3: Cross multiply
    97.54x = 146.31 × 85.93
  4. Step 4: Simplify right side
    97.54x = 12,571.73
  5. Step 5: Solve for x
    x = 12,571.73/97.54
  6. Step 6: Final answer
    x = 128.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.