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Finding the Fourth Proportional to 25.10, 34.62 and 19.64

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Solution

The fourth proportional to 25.10, 34.62 and 19.64 is: 27.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.10 : 34.62 = 19.64 : x
  2. Step 2: Convert to fraction form
    25.10/34.62 = 19.64/x
  3. Step 3: Cross multiply
    25.10x = 34.62 × 19.64
  4. Step 4: Simplify right side
    25.10x = 679.94
  5. Step 5: Solve for x
    x = 679.94/25.10
  6. Step 6: Final answer
    x = 27.09

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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.