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Finding the Fourth Proportional to 25.66, 37.96 and 25.66

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Solution

The fourth proportional to 25.66, 37.96 and 25.66 is: 37.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.66 : 37.96 = 25.66 : x
  2. Step 2: Convert to fraction form
    25.66/37.96 = 25.66/x
  3. Step 3: Cross multiply
    25.66x = 37.96 × 25.66
  4. Step 4: Simplify right side
    25.66x = 974.05
  5. Step 5: Solve for x
    x = 974.05/25.66
  6. Step 6: Final answer
    x = 37.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.