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Finding the Fourth Proportional to 25.48, 37.69 and 25.48

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Solution

The fourth proportional to 25.48, 37.69 and 25.48 is: 37.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.48 : 37.69 = 25.48 : x
  2. Step 2: Convert to fraction form
    25.48/37.69 = 25.48/x
  3. Step 3: Cross multiply
    25.48x = 37.69 × 25.48
  4. Step 4: Simplify right side
    25.48x = 960.34
  5. Step 5: Solve for x
    x = 960.34/25.48
  6. Step 6: Final answer
    x = 37.69

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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.