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Finding the Fourth Proportional to 96.78, 133.49 and 64.08

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Solution

The fourth proportional to 96.78, 133.49 and 64.08 is: 88.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 133.49 = 64.08 : x
  2. Step 2: Convert to fraction form
    96.78/133.49 = 64.08/x
  3. Step 3: Cross multiply
    96.78x = 133.49 × 64.08
  4. Step 4: Simplify right side
    96.78x = 8,553.72
  5. Step 5: Solve for x
    x = 8,553.72/96.78
  6. Step 6: Final answer
    x = 88.38

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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.