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Finding the Fourth Proportional to 76.68, 114.96 and 49.23

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Solution

The fourth proportional to 76.68, 114.96 and 49.23 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 114.96 = 49.23 : x
  2. Step 2: Convert to fraction form
    76.68/114.96 = 49.23/x
  3. Step 3: Cross multiply
    76.68x = 114.96 × 49.23
  4. Step 4: Simplify right side
    76.68x = 5,659.48
  5. Step 5: Solve for x
    x = 5,659.48/76.68
  6. Step 6: Final answer
    x = 73.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.