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Finding the Fourth Proportional to 19.63, 27.07 and 16.91

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Solution

The fourth proportional to 19.63, 27.07 and 16.91 is: 23.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.63 : 27.07 = 16.91 : x
  2. Step 2: Convert to fraction form
    19.63/27.07 = 16.91/x
  3. Step 3: Cross multiply
    19.63x = 27.07 × 16.91
  4. Step 4: Simplify right side
    19.63x = 457.75
  5. Step 5: Solve for x
    x = 457.75/19.63
  6. Step 6: Final answer
    x = 23.32

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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.