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Finding the Fourth Proportional to 95.37, 131.90 and 83.70

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Solution

The fourth proportional to 95.37, 131.90 and 83.70 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.37 : 131.90 = 83.70 : x
  2. Step 2: Convert to fraction form
    95.37/131.90 = 83.70/x
  3. Step 3: Cross multiply
    95.37x = 131.90 × 83.70
  4. Step 4: Simplify right side
    95.37x = 11,039.61
  5. Step 5: Solve for x
    x = 11,039.61/95.37
  6. Step 6: Final answer
    x = 115.76

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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.