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Finding the Fourth Proportional to 49.38, 68.13 and 32.14

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Solution

The fourth proportional to 49.38, 68.13 and 32.14 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.38 : 68.13 = 32.14 : x
  2. Step 2: Convert to fraction form
    49.38/68.13 = 32.14/x
  3. Step 3: Cross multiply
    49.38x = 68.13 × 32.14
  4. Step 4: Simplify right side
    49.38x = 2,189.70
  5. Step 5: Solve for x
    x = 2,189.70/49.38
  6. Step 6: Final answer
    x = 44.34

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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.