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Finding the Fourth Proportional to 95.37, 131.49 and 77.87

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Solution

The fourth proportional to 95.37, 131.49 and 77.87 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.37 : 131.49 = 77.87 : x
  2. Step 2: Convert to fraction form
    95.37/131.49 = 77.87/x
  3. Step 3: Cross multiply
    95.37x = 131.49 × 77.87
  4. Step 4: Simplify right side
    95.37x = 10,239.22
  5. Step 5: Solve for x
    x = 10,239.22/95.37
  6. Step 6: Final answer
    x = 107.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.