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Finding the Fourth Proportional to 20.98, 28.96 and 14.86

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Solution

The fourth proportional to 20.98, 28.96 and 14.86 is: 20.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.98 : 28.96 = 14.86 : x
  2. Step 2: Convert to fraction form
    20.98/28.96 = 14.86/x
  3. Step 3: Cross multiply
    20.98x = 28.96 × 14.86
  4. Step 4: Simplify right side
    20.98x = 430.35
  5. Step 5: Solve for x
    x = 430.35/20.98
  6. Step 6: Final answer
    x = 20.51

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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.