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Finding the Fourth Proportional to 31.05, 46.53 and 15.82

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Solution

The fourth proportional to 31.05, 46.53 and 15.82 is: 23.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.05 : 46.53 = 15.82 : x
  2. Step 2: Convert to fraction form
    31.05/46.53 = 15.82/x
  3. Step 3: Cross multiply
    31.05x = 46.53 × 15.82
  4. Step 4: Simplify right side
    31.05x = 736.10
  5. Step 5: Solve for x
    x = 736.10/31.05
  6. Step 6: Final answer
    x = 23.71

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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.