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Finding the Fourth Proportional to 16.47, 24.64 and 11.37

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Solution

The fourth proportional to 16.47, 24.64 and 11.37 is: 17.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.47 : 24.64 = 11.37 : x
  2. Step 2: Convert to fraction form
    16.47/24.64 = 11.37/x
  3. Step 3: Cross multiply
    16.47x = 24.64 × 11.37
  4. Step 4: Simplify right side
    16.47x = 280.16
  5. Step 5: Solve for x
    x = 280.16/16.47
  6. Step 6: Final answer
    x = 17.01

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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.