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Finding the Fourth Proportional to 16.09, 24.02 and 14.90

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Solution

The fourth proportional to 16.09, 24.02 and 14.90 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.09 : 24.02 = 14.90 : x
  2. Step 2: Convert to fraction form
    16.09/24.02 = 14.90/x
  3. Step 3: Cross multiply
    16.09x = 24.02 × 14.90
  4. Step 4: Simplify right side
    16.09x = 357.92
  5. Step 5: Solve for x
    x = 357.92/16.09
  6. Step 6: Final answer
    x = 22.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.