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Finding the Fourth Proportional to 16.54, 24.80 and 10.16

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Solution

The fourth proportional to 16.54, 24.80 and 10.16 is: 15.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 24.80 = 10.16 : x
  2. Step 2: Convert to fraction form
    16.54/24.80 = 10.16/x
  3. Step 3: Cross multiply
    16.54x = 24.80 × 10.16
  4. Step 4: Simplify right side
    16.54x = 251.87
  5. Step 5: Solve for x
    x = 251.87/16.54
  6. Step 6: Final answer
    x = 15.23

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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.