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Finding the Fourth Proportional to 14.59, 20.13 and 9.13

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Solution

The fourth proportional to 14.59, 20.13 and 9.13 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.59 : 20.13 = 9.13 : x
  2. Step 2: Convert to fraction form
    14.59/20.13 = 9.13/x
  3. Step 3: Cross multiply
    14.59x = 20.13 × 9.13
  4. Step 4: Simplify right side
    14.59x = 183.69
  5. Step 5: Solve for x
    x = 183.69/14.59
  6. Step 6: Final answer
    x = 12.59

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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.