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Finding the Fourth Proportional to 16.70, 25.13 and 14.48

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Solution

The fourth proportional to 16.70, 25.13 and 14.48 is: 21.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.70 : 25.13 = 14.48 : x
  2. Step 2: Convert to fraction form
    16.70/25.13 = 14.48/x
  3. Step 3: Cross multiply
    16.70x = 25.13 × 14.48
  4. Step 4: Simplify right side
    16.70x = 363.68
  5. Step 5: Solve for x
    x = 363.68/16.70
  6. Step 6: Final answer
    x = 21.77

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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.