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Finding the Fourth Proportional to 96.53, 133.04 and 74.66

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Solution

The fourth proportional to 96.53, 133.04 and 74.66 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 133.04 = 74.66 : x
  2. Step 2: Convert to fraction form
    96.53/133.04 = 74.66/x
  3. Step 3: Cross multiply
    96.53x = 133.04 × 74.66
  4. Step 4: Simplify right side
    96.53x = 9,932.29
  5. Step 5: Solve for x
    x = 9,932.29/96.53
  6. Step 6: Final answer
    x = 102.90

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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.