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Finding the Fourth Proportional to 14.02, 20.90 and 12.13

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Solution

The fourth proportional to 14.02, 20.90 and 12.13 is: 18.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.02 : 20.90 = 12.13 : x
  2. Step 2: Convert to fraction form
    14.02/20.90 = 12.13/x
  3. Step 3: Cross multiply
    14.02x = 20.90 × 12.13
  4. Step 4: Simplify right side
    14.02x = 253.52
  5. Step 5: Solve for x
    x = 253.52/14.02
  6. Step 6: Final answer
    x = 18.08

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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.