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Finding the Fourth Proportional to 16.15, 22.11 and 15.64

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Solution

The fourth proportional to 16.15, 22.11 and 15.64 is: 21.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.15 : 22.11 = 15.64 : x
  2. Step 2: Convert to fraction form
    16.15/22.11 = 15.64/x
  3. Step 3: Cross multiply
    16.15x = 22.11 × 15.64
  4. Step 4: Simplify right side
    16.15x = 345.71
  5. Step 5: Solve for x
    x = 345.71/16.15
  6. Step 6: Final answer
    x = 21.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.