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Finding the Fourth Proportional to 77.68, 106.58 and 75.64

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Solution

The fourth proportional to 77.68, 106.58 and 75.64 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 106.58 = 75.64 : x
  2. Step 2: Convert to fraction form
    77.68/106.58 = 75.64/x
  3. Step 3: Cross multiply
    77.68x = 106.58 × 75.64
  4. Step 4: Simplify right side
    77.68x = 8,061.71
  5. Step 5: Solve for x
    x = 8,061.71/77.68
  6. Step 6: Final answer
    x = 103.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.