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Finding the Fourth Proportional to 76.75, 105.92 and 73.29

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Solution

The fourth proportional to 76.75, 105.92 and 73.29 is: 101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 105.92 = 73.29 : x
  2. Step 2: Convert to fraction form
    76.75/105.92 = 73.29/x
  3. Step 3: Cross multiply
    76.75x = 105.92 × 73.29
  4. Step 4: Simplify right side
    76.75x = 7,762.79
  5. Step 5: Solve for x
    x = 7,762.79/76.75
  6. Step 6: Final answer
    x = 101.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.