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Finding the Fourth Proportional to 20.03, 27.64 and 13.13

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Solution

The fourth proportional to 20.03, 27.64 and 13.13 is: 18.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.03 : 27.64 = 13.13 : x
  2. Step 2: Convert to fraction form
    20.03/27.64 = 13.13/x
  3. Step 3: Cross multiply
    20.03x = 27.64 × 13.13
  4. Step 4: Simplify right side
    20.03x = 362.81
  5. Step 5: Solve for x
    x = 362.81/20.03
  6. Step 6: Final answer
    x = 18.11

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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.