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Finding the Fourth Proportional to 25.00, 34.49 and 14.64

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Solution

The fourth proportional to 25.00, 34.49 and 14.64 is: 20.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.00 : 34.49 = 14.64 : x
  2. Step 2: Convert to fraction form
    25.00/34.49 = 14.64/x
  3. Step 3: Cross multiply
    25.00x = 34.49 × 14.64
  4. Step 4: Simplify right side
    25.00x = 504.76
  5. Step 5: Solve for x
    x = 504.76/25.00
  6. Step 6: Final answer
    x = 20.19

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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.