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Finding the Fourth Proportional to 19.63, 27.10 and 16.01

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Solution

The fourth proportional to 19.63, 27.10 and 16.01 is: 22.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.63 : 27.10 = 16.01 : x
  2. Step 2: Convert to fraction form
    19.63/27.10 = 16.01/x
  3. Step 3: Cross multiply
    19.63x = 27.10 × 16.01
  4. Step 4: Simplify right side
    19.63x = 433.87
  5. Step 5: Solve for x
    x = 433.87/19.63
  6. Step 6: Final answer
    x = 22.10

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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.