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Finding the Fourth Proportional to 96.92, 133.75 and 53.25

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Solution

The fourth proportional to 96.92, 133.75 and 53.25 is: 73.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.92 : 133.75 = 53.25 : x
  2. Step 2: Convert to fraction form
    96.92/133.75 = 53.25/x
  3. Step 3: Cross multiply
    96.92x = 133.75 × 53.25
  4. Step 4: Simplify right side
    96.92x = 7,122.26
  5. Step 5: Solve for x
    x = 7,122.26/96.92
  6. Step 6: Final answer
    x = 73.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.