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Finding the Fourth Proportional to 46.65, 69.48 and 44.31

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Solution

The fourth proportional to 46.65, 69.48 and 44.31 is: 65.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.65 : 69.48 = 44.31 : x
  2. Step 2: Convert to fraction form
    46.65/69.48 = 44.31/x
  3. Step 3: Cross multiply
    46.65x = 69.48 × 44.31
  4. Step 4: Simplify right side
    46.65x = 3,078.66
  5. Step 5: Solve for x
    x = 3,078.66/46.65
  6. Step 6: Final answer
    x = 65.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.