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Finding the Fourth Proportional to 31.65, 46.81 and 31.65

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Solution

The fourth proportional to 31.65, 46.81 and 31.65 is: 46.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.65 : 46.81 = 31.65 : x
  2. Step 2: Convert to fraction form
    31.65/46.81 = 31.65/x
  3. Step 3: Cross multiply
    31.65x = 46.81 × 31.65
  4. Step 4: Simplify right side
    31.65x = 1,481.54
  5. Step 5: Solve for x
    x = 1,481.54/31.65
  6. Step 6: Final answer
    x = 46.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.