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Finding the Fourth Proportional to 95.46, 142.92 and 77.37

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Solution

The fourth proportional to 95.46, 142.92 and 77.37 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 142.92 = 77.37 : x
  2. Step 2: Convert to fraction form
    95.46/142.92 = 77.37/x
  3. Step 3: Cross multiply
    95.46x = 142.92 × 77.37
  4. Step 4: Simplify right side
    95.46x = 11,057.72
  5. Step 5: Solve for x
    x = 11,057.72/95.46
  6. Step 6: Final answer
    x = 115.84

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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.