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Finding the Fourth Proportional to 14.59, 21.76 and 13.83

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Solution

The fourth proportional to 14.59, 21.76 and 13.83 is: 20.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 21.76 = 13.83 : x
  2. Step 2: Convert to fraction form
    14.59/21.76 = 13.83/x
  3. Step 3: Cross multiply
    14.59x = 21.76 × 13.83
  4. Step 4: Simplify right side
    14.59x = 300.94
  5. Step 5: Solve for x
    x = 300.94/14.59
  6. Step 6: Final answer
    x = 20.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.