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Finding the Fourth Proportional to 96.72, 145.94 and 92.97

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Solution

The fourth proportional to 96.72, 145.94 and 92.97 is: 140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.72 : 145.94 = 92.97 : x
  2. Step 2: Convert to fraction form
    96.72/145.94 = 92.97/x
  3. Step 3: Cross multiply
    96.72x = 145.94 × 92.97
  4. Step 4: Simplify right side
    96.72x = 13,568.27
  5. Step 5: Solve for x
    x = 13,568.27/96.72
  6. Step 6: Final answer
    x = 140.28

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Why These Related Problems?

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