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Finding the Fourth Proportional to 95.46, 131.93 and 83.31

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Solution

The fourth proportional to 95.46, 131.93 and 83.31 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.46 : 131.93 = 83.31 : x
  2. Step 2: Convert to fraction form
    95.46/131.93 = 83.31/x
  3. Step 3: Cross multiply
    95.46x = 131.93 × 83.31
  4. Step 4: Simplify right side
    95.46x = 10,990.67
  5. Step 5: Solve for x
    x = 10,990.67/95.46
  6. Step 6: Final answer
    x = 115.13

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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.