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Finding the Fourth Proportional to 77.64, 115.86 and 75.72

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Solution

The fourth proportional to 77.64, 115.86 and 75.72 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 115.86 = 75.72 : x
  2. Step 2: Convert to fraction form
    77.64/115.86 = 75.72/x
  3. Step 3: Cross multiply
    77.64x = 115.86 × 75.72
  4. Step 4: Simplify right side
    77.64x = 8,772.92
  5. Step 5: Solve for x
    x = 8,772.92/77.64
  6. Step 6: Final answer
    x = 112.99

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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.