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Finding the Fourth Proportional to 16.48, 22.72 and 14.05

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Solution

The fourth proportional to 16.48, 22.72 and 14.05 is: 19.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.48 : 22.72 = 14.05 : x
  2. Step 2: Convert to fraction form
    16.48/22.72 = 14.05/x
  3. Step 3: Cross multiply
    16.48x = 22.72 × 14.05
  4. Step 4: Simplify right side
    16.48x = 319.22
  5. Step 5: Solve for x
    x = 319.22/16.48
  6. Step 6: Final answer
    x = 19.37

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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.