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Finding the Fourth Proportional to 13.61, 18.80 and 9.02

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Solution

The fourth proportional to 13.61, 18.80 and 9.02 is: 12.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 18.80 = 9.02 : x
  2. Step 2: Convert to fraction form
    13.61/18.80 = 9.02/x
  3. Step 3: Cross multiply
    13.61x = 18.80 × 9.02
  4. Step 4: Simplify right side
    13.61x = 169.44
  5. Step 5: Solve for x
    x = 169.44/13.61
  6. Step 6: Final answer
    x = 12.45

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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.