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Finding the Fourth Proportional to 96.75, 133.53 and 73.56

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Solution

The fourth proportional to 96.75, 133.53 and 73.56 is: 101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 133.53 = 73.56 : x
  2. Step 2: Convert to fraction form
    96.75/133.53 = 73.56/x
  3. Step 3: Cross multiply
    96.75x = 133.53 × 73.56
  4. Step 4: Simplify right side
    96.75x = 9,822.47
  5. Step 5: Solve for x
    x = 9,822.47/96.75
  6. Step 6: Final answer
    x = 101.52

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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.