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Finding the Fourth Proportional to 16.08, 24.14 and 13

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Solution

The fourth proportional to 16.08, 24.14 and 13 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.08 : 24.14 = 13 : x
  2. Step 2: Convert to fraction form
    16.08/24.14 = 13/x
  3. Step 3: Cross multiply
    16.08x = 24.14 × 13
  4. Step 4: Simplify right side
    16.08x = 313.82
  5. Step 5: Solve for x
    x = 313.82/16.08
  6. Step 6: Final answer
    x = 19.52

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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.