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Finding the Fourth Proportional to 96.54, 133.02 and 67.38

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Solution

The fourth proportional to 96.54, 133.02 and 67.38 is: 92.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 133.02 = 67.38 : x
  2. Step 2: Convert to fraction form
    96.54/133.02 = 67.38/x
  3. Step 3: Cross multiply
    96.54x = 133.02 × 67.38
  4. Step 4: Simplify right side
    96.54x = 8,962.89
  5. Step 5: Solve for x
    x = 8,962.89/96.54
  6. Step 6: Final answer
    x = 92.84

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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.