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Finding the Fourth Proportional to 96.93, 133.69 and 76.19

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Solution

The fourth proportional to 96.93, 133.69 and 76.19 is: 105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 133.69 = 76.19 : x
  2. Step 2: Convert to fraction form
    96.93/133.69 = 76.19/x
  3. Step 3: Cross multiply
    96.93x = 133.69 × 76.19
  4. Step 4: Simplify right side
    96.93x = 10,185.84
  5. Step 5: Solve for x
    x = 10,185.84/96.93
  6. Step 6: Final answer
    x = 105.08

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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.