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Finding the Fourth Proportional to 13.47, 18.57 and 11.65

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Solution

The fourth proportional to 13.47, 18.57 and 11.65 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.47 : 18.57 = 11.65 : x
  2. Step 2: Convert to fraction form
    13.47/18.57 = 11.65/x
  3. Step 3: Cross multiply
    13.47x = 18.57 × 11.65
  4. Step 4: Simplify right side
    13.47x = 216.25
  5. Step 5: Solve for x
    x = 216.25/13.47
  6. Step 6: Final answer
    x = 16.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.