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Finding the Fourth Proportional to 36.25, 49.96 and 32.14

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Solution

The fourth proportional to 36.25, 49.96 and 32.14 is: 44.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.25 : 49.96 = 32.14 : x
  2. Step 2: Convert to fraction form
    36.25/49.96 = 32.14/x
  3. Step 3: Cross multiply
    36.25x = 49.96 × 32.14
  4. Step 4: Simplify right side
    36.25x = 1,605.71
  5. Step 5: Solve for x
    x = 1,605.71/36.25
  6. Step 6: Final answer
    x = 44.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.