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Finding the Fourth Proportional to 16.64, 24.80 and 16.56

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Solution

The fourth proportional to 16.64, 24.80 and 16.56 is: 24.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.64 : 24.80 = 16.56 : x
  2. Step 2: Convert to fraction form
    16.64/24.80 = 16.56/x
  3. Step 3: Cross multiply
    16.64x = 24.80 × 16.56
  4. Step 4: Simplify right side
    16.64x = 410.69
  5. Step 5: Solve for x
    x = 410.69/16.64
  6. Step 6: Final answer
    x = 24.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.