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Finding the Fourth Proportional to 95.95, 143.92 and 31.82

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Solution

The fourth proportional to 95.95, 143.92 and 31.82 is: 47.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.95 : 143.92 = 31.82 : x
  2. Step 2: Convert to fraction form
    95.95/143.92 = 31.82/x
  3. Step 3: Cross multiply
    95.95x = 143.92 × 31.82
  4. Step 4: Simplify right side
    95.95x = 4,579.53
  5. Step 5: Solve for x
    x = 4,579.53/95.95
  6. Step 6: Final answer
    x = 47.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.