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Finding the Fourth Proportional to 20.35, 30.51 and 13.57

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Solution

The fourth proportional to 20.35, 30.51 and 13.57 is: 20.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.35 : 30.51 = 13.57 : x
  2. Step 2: Convert to fraction form
    20.35/30.51 = 13.57/x
  3. Step 3: Cross multiply
    20.35x = 30.51 × 13.57
  4. Step 4: Simplify right side
    20.35x = 414.02
  5. Step 5: Solve for x
    x = 414.02/20.35
  6. Step 6: Final answer
    x = 20.34

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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.