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Finding the Fourth Proportional to 77.68, 116 and 76.48

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Solution

The fourth proportional to 77.68, 116 and 76.48 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 116 = 76.48 : x
  2. Step 2: Convert to fraction form
    77.68/116 = 76.48/x
  3. Step 3: Cross multiply
    77.68x = 116 × 76.48
  4. Step 4: Simplify right side
    77.68x = 8,871.68
  5. Step 5: Solve for x
    x = 8,871.68/77.68
  6. Step 6: Final answer
    x = 114.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.