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Finding the Fourth Proportional to 95.41, 131.81 and 81.74

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Solution

The fourth proportional to 95.41, 131.81 and 81.74 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.41 : 131.81 = 81.74 : x
  2. Step 2: Convert to fraction form
    95.41/131.81 = 81.74/x
  3. Step 3: Cross multiply
    95.41x = 131.81 × 81.74
  4. Step 4: Simplify right side
    95.41x = 10,774.15
  5. Step 5: Solve for x
    x = 10,774.15/95.41
  6. Step 6: Final answer
    x = 112.92

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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.