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Finding the Fourth Proportional to 30.75, 46.14 and 13.64

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Solution

The fourth proportional to 30.75, 46.14 and 13.64 is: 20.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 46.14 = 13.64 : x
  2. Step 2: Convert to fraction form
    30.75/46.14 = 13.64/x
  3. Step 3: Cross multiply
    30.75x = 46.14 × 13.64
  4. Step 4: Simplify right side
    30.75x = 629.46
  5. Step 5: Solve for x
    x = 629.46/30.75
  6. Step 6: Final answer
    x = 20.47

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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.