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Finding the Fourth Proportional to 25.95, 35.82 and 17.20

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Solution

The fourth proportional to 25.95, 35.82 and 17.20 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.95 : 35.82 = 17.20 : x
  2. Step 2: Convert to fraction form
    25.95/35.82 = 17.20/x
  3. Step 3: Cross multiply
    25.95x = 35.82 × 17.20
  4. Step 4: Simplify right side
    25.95x = 616.17
  5. Step 5: Solve for x
    x = 616.17/25.95
  6. Step 6: Final answer
    x = 23.74

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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.