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Finding the Fourth Proportional to 25.89, 35.72 and 14.97

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Solution

The fourth proportional to 25.89, 35.72 and 14.97 is: 20.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 35.72 = 14.97 : x
  2. Step 2: Convert to fraction form
    25.89/35.72 = 14.97/x
  3. Step 3: Cross multiply
    25.89x = 35.72 × 14.97
  4. Step 4: Simplify right side
    25.89x = 534.73
  5. Step 5: Solve for x
    x = 534.73/25.89
  6. Step 6: Final answer
    x = 20.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.