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Finding the Fourth Proportional to 77.94, 117.17 and 75.51

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Solution

The fourth proportional to 77.94, 117.17 and 75.51 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 117.17 = 75.51 : x
  2. Step 2: Convert to fraction form
    77.94/117.17 = 75.51/x
  3. Step 3: Cross multiply
    77.94x = 117.17 × 75.51
  4. Step 4: Simplify right side
    77.94x = 8,847.13
  5. Step 5: Solve for x
    x = 8,847.13/77.94
  6. Step 6: Final answer
    x = 113.51

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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.