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Finding the Fourth Proportional to 25.17, 34.74 and 20.02

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Solution

The fourth proportional to 25.17, 34.74 and 20.02 is: 27.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.17 : 34.74 = 20.02 : x
  2. Step 2: Convert to fraction form
    25.17/34.74 = 20.02/x
  3. Step 3: Cross multiply
    25.17x = 34.74 × 20.02
  4. Step 4: Simplify right side
    25.17x = 695.49
  5. Step 5: Solve for x
    x = 695.49/25.17
  6. Step 6: Final answer
    x = 27.63

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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.