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Finding the Fourth Proportional to 16.64, 25.12 and 16.64

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Solution

The fourth proportional to 16.64, 25.12 and 16.64 is: 25.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 25.12 = 16.64 : x
  2. Step 2: Convert to fraction form
    16.64/25.12 = 16.64/x
  3. Step 3: Cross multiply
    16.64x = 25.12 × 16.64
  4. Step 4: Simplify right side
    16.64x = 418.02
  5. Step 5: Solve for x
    x = 418.02/16.64
  6. Step 6: Final answer
    x = 25.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.