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Finding the Fourth Proportional to 13.47, 18.59 and 10.23

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Solution

The fourth proportional to 13.47, 18.59 and 10.23 is: 14.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.47 : 18.59 = 10.23 : x
  2. Step 2: Convert to fraction form
    13.47/18.59 = 10.23/x
  3. Step 3: Cross multiply
    13.47x = 18.59 × 10.23
  4. Step 4: Simplify right side
    13.47x = 190.12
  5. Step 5: Solve for x
    x = 190.12/13.47
  6. Step 6: Final answer
    x = 14.11

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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.