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Finding the Fourth Proportional to 16.24, 22.42 and 10.80

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Solution

The fourth proportional to 16.24, 22.42 and 10.80 is: 14.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.24 : 22.42 = 10.80 : x
  2. Step 2: Convert to fraction form
    16.24/22.42 = 10.80/x
  3. Step 3: Cross multiply
    16.24x = 22.42 × 10.80
  4. Step 4: Simplify right side
    16.24x = 242.14
  5. Step 5: Solve for x
    x = 242.14/16.24
  6. Step 6: Final answer
    x = 14.91

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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.