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Finding the Fourth Proportional to 25.89, 35.66 and 21.54

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Solution

The fourth proportional to 25.89, 35.66 and 21.54 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 35.66 = 21.54 : x
  2. Step 2: Convert to fraction form
    25.89/35.66 = 21.54/x
  3. Step 3: Cross multiply
    25.89x = 35.66 × 21.54
  4. Step 4: Simplify right side
    25.89x = 767.83
  5. Step 5: Solve for x
    x = 767.83/25.89
  6. Step 6: Final answer
    x = 29.66

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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.