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Finding the Fourth Proportional to 77.20, 115.68 and 75.20

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Solution

The fourth proportional to 77.20, 115.68 and 75.20 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 115.68 = 75.20 : x
  2. Step 2: Convert to fraction form
    77.20/115.68 = 75.20/x
  3. Step 3: Cross multiply
    77.20x = 115.68 × 75.20
  4. Step 4: Simplify right side
    77.20x = 8,699.14
  5. Step 5: Solve for x
    x = 8,699.14/77.20
  6. Step 6: Final answer
    x = 112.68

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Why These Related Problems?

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