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Finding the Fourth Proportional to 30.84, 46.23 and 13.72

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Solution

The fourth proportional to 30.84, 46.23 and 13.72 is: 20.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 46.23 = 13.72 : x
  2. Step 2: Convert to fraction form
    30.84/46.23 = 13.72/x
  3. Step 3: Cross multiply
    30.84x = 46.23 × 13.72
  4. Step 4: Simplify right side
    30.84x = 634.16
  5. Step 5: Solve for x
    x = 634.16/30.84
  6. Step 6: Final answer
    x = 20.56

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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.