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Finding the Fourth Proportional to 96.75, 133.53 and 55.31

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Solution

The fourth proportional to 96.75, 133.53 and 55.31 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 133.53 = 55.31 : x
  2. Step 2: Convert to fraction form
    96.75/133.53 = 55.31/x
  3. Step 3: Cross multiply
    96.75x = 133.53 × 55.31
  4. Step 4: Simplify right side
    96.75x = 7,385.54
  5. Step 5: Solve for x
    x = 7,385.54/96.75
  6. Step 6: Final answer
    x = 76.34

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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.