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Finding the Fourth Proportional to 16, 24.13 and 14.02

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Solution

The fourth proportional to 16, 24.13 and 14.02 is: 21.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 24.13 = 14.02 : x
  2. Step 2: Convert to fraction form
    16/24.13 = 14.02/x
  3. Step 3: Cross multiply
    16x = 24.13 × 14.02
  4. Step 4: Simplify right side
    16x = 338.30
  5. Step 5: Solve for x
    x = 338.30/16
  6. Step 6: Final answer
    x = 21.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.