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Finding the Fourth Proportional to 16.10, 22.24 and 9.64

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Solution

The fourth proportional to 16.10, 22.24 and 9.64 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 22.24 = 9.64 : x
  2. Step 2: Convert to fraction form
    16.10/22.24 = 9.64/x
  3. Step 3: Cross multiply
    16.10x = 22.24 × 9.64
  4. Step 4: Simplify right side
    16.10x = 214.39
  5. Step 5: Solve for x
    x = 214.39/16.10
  6. Step 6: Final answer
    x = 13.32

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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.