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Finding the Fourth Proportional to 95.73, 143.57 and 31.59

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Solution

The fourth proportional to 95.73, 143.57 and 31.59 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.73 : 143.57 = 31.59 : x
  2. Step 2: Convert to fraction form
    95.73/143.57 = 31.59/x
  3. Step 3: Cross multiply
    95.73x = 143.57 × 31.59
  4. Step 4: Simplify right side
    95.73x = 4,535.22
  5. Step 5: Solve for x
    x = 4,535.22/95.73
  6. Step 6: Final answer
    x = 47.38

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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.