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Finding the Fourth Proportional to 19.64, 27.12 and 16

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Solution

The fourth proportional to 19.64, 27.12 and 16 is: 22.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.64 : 27.12 = 16 : x
  2. Step 2: Convert to fraction form
    19.64/27.12 = 16/x
  3. Step 3: Cross multiply
    19.64x = 27.12 × 16
  4. Step 4: Simplify right side
    19.64x = 433.92
  5. Step 5: Solve for x
    x = 433.92/19.64
  6. Step 6: Final answer
    x = 22.09

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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.