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Finding the Fourth Proportional to 77.37, 115.60 and 74.68

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Solution

The fourth proportional to 77.37, 115.60 and 74.68 is: 111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.37 : 115.60 = 74.68 : x
  2. Step 2: Convert to fraction form
    77.37/115.60 = 74.68/x
  3. Step 3: Cross multiply
    77.37x = 115.60 × 74.68
  4. Step 4: Simplify right side
    77.37x = 8,632.67
  5. Step 5: Solve for x
    x = 8,632.67/77.37
  6. Step 6: Final answer
    x = 111.58

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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.