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Finding the Fourth Proportional to 97.94, 146.96 and 93.25

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Solution

The fourth proportional to 97.94, 146.96 and 93.25 is: 139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.94 : 146.96 = 93.25 : x
  2. Step 2: Convert to fraction form
    97.94/146.96 = 93.25/x
  3. Step 3: Cross multiply
    97.94x = 146.96 × 93.25
  4. Step 4: Simplify right side
    97.94x = 13,704.02
  5. Step 5: Solve for x
    x = 13,704.02/97.94
  6. Step 6: Final answer
    x = 139.92

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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.