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Finding the Fourth Proportional to 14.52, 20.64 and 14.52

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Solution

The fourth proportional to 14.52, 20.64 and 14.52 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.52 : 20.64 = 14.52 : x
  2. Step 2: Convert to fraction form
    14.52/20.64 = 14.52/x
  3. Step 3: Cross multiply
    14.52x = 20.64 × 14.52
  4. Step 4: Simplify right side
    14.52x = 299.69
  5. Step 5: Solve for x
    x = 299.69/14.52
  6. Step 6: Final answer
    x = 20.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.