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Finding the Fourth Proportional to 13.80, 18.96 and 13.53

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Solution

The fourth proportional to 13.80, 18.96 and 13.53 is: 18.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.80 : 18.96 = 13.53 : x
  2. Step 2: Convert to fraction form
    13.80/18.96 = 13.53/x
  3. Step 3: Cross multiply
    13.80x = 18.96 × 13.53
  4. Step 4: Simplify right side
    13.80x = 256.53
  5. Step 5: Solve for x
    x = 256.53/13.80
  6. Step 6: Final answer
    x = 18.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.