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Finding the Fourth Proportional to 95.56, 131.82 and 71

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Solution

The fourth proportional to 95.56, 131.82 and 71 is: 97.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.56 : 131.82 = 71 : x
  2. Step 2: Convert to fraction form
    95.56/131.82 = 71/x
  3. Step 3: Cross multiply
    95.56x = 131.82 × 71
  4. Step 4: Simplify right side
    95.56x = 9,359.22
  5. Step 5: Solve for x
    x = 9,359.22/95.56
  6. Step 6: Final answer
    x = 97.94

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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.