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Finding the Fourth Proportional to 95.81, 143.72 and 31.69

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Solution

The fourth proportional to 95.81, 143.72 and 31.69 is: 47.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.81 : 143.72 = 31.69 : x
  2. Step 2: Convert to fraction form
    95.81/143.72 = 31.69/x
  3. Step 3: Cross multiply
    95.81x = 143.72 × 31.69
  4. Step 4: Simplify right side
    95.81x = 4,554.21
  5. Step 5: Solve for x
    x = 4,554.21/95.81
  6. Step 6: Final answer
    x = 47.53

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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.