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Finding the Fourth Proportional to 95.38, 143.08 and 31.26

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Solution

The fourth proportional to 95.38, 143.08 and 31.26 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 143.08 = 31.26 : x
  2. Step 2: Convert to fraction form
    95.38/143.08 = 31.26/x
  3. Step 3: Cross multiply
    95.38x = 143.08 × 31.26
  4. Step 4: Simplify right side
    95.38x = 4,472.68
  5. Step 5: Solve for x
    x = 4,472.68/95.38
  6. Step 6: Final answer
    x = 46.89

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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.