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Finding the Fourth Proportional to 13.01, 19.52 and 9

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Solution

The fourth proportional to 13.01, 19.52 and 9 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.01 : 19.52 = 9 : x
  2. Step 2: Convert to fraction form
    13.01/19.52 = 9/x
  3. Step 3: Cross multiply
    13.01x = 19.52 × 9
  4. Step 4: Simplify right side
    13.01x = 175.67
  5. Step 5: Solve for x
    x = 175.67/13.01
  6. Step 6: Final answer
    x = 13.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.