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Finding the Fourth Proportional to 95.46, 131.64 and 82.50

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Solution

The fourth proportional to 95.46, 131.64 and 82.50 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 131.64 = 82.50 : x
  2. Step 2: Convert to fraction form
    95.46/131.64 = 82.50/x
  3. Step 3: Cross multiply
    95.46x = 131.64 × 82.50
  4. Step 4: Simplify right side
    95.46x = 10,860.30
  5. Step 5: Solve for x
    x = 10,860.30/95.46
  6. Step 6: Final answer
    x = 113.77

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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.