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Finding the Fourth Proportional to 13.02, 17.91 and 9.37

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Solution

The fourth proportional to 13.02, 17.91 and 9.37 is: 12.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 17.91 = 9.37 : x
  2. Step 2: Convert to fraction form
    13.02/17.91 = 9.37/x
  3. Step 3: Cross multiply
    13.02x = 17.91 × 9.37
  4. Step 4: Simplify right side
    13.02x = 167.82
  5. Step 5: Solve for x
    x = 167.82/13.02
  6. Step 6: Final answer
    x = 12.89

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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.