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Finding the Fourth Proportional to 25.96, 35.82 and 14.30

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Solution

The fourth proportional to 25.96, 35.82 and 14.30 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.82 = 14.30 : x
  2. Step 2: Convert to fraction form
    25.96/35.82 = 14.30/x
  3. Step 3: Cross multiply
    25.96x = 35.82 × 14.30
  4. Step 4: Simplify right side
    25.96x = 512.34
  5. Step 5: Solve for x
    x = 512.34/25.96
  6. Step 6: Final answer
    x = 19.74

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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.