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Finding the Fourth Proportional to 13.76, 18.83 and 13.53

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Solution

The fourth proportional to 13.76, 18.83 and 13.53 is: 18.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 18.83 = 13.53 : x
  2. Step 2: Convert to fraction form
    13.76/18.83 = 13.53/x
  3. Step 3: Cross multiply
    13.76x = 18.83 × 13.53
  4. Step 4: Simplify right side
    13.76x = 254.70
  5. Step 5: Solve for x
    x = 254.70/13.76
  6. Step 6: Final answer
    x = 18.52

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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.