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Finding the Fourth Proportional to 25.44, 37.95 and 23.64

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Solution

The fourth proportional to 25.44, 37.95 and 23.64 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.44 : 37.95 = 23.64 : x
  2. Step 2: Convert to fraction form
    25.44/37.95 = 23.64/x
  3. Step 3: Cross multiply
    25.44x = 37.95 × 23.64
  4. Step 4: Simplify right side
    25.44x = 897.14
  5. Step 5: Solve for x
    x = 897.14/25.44
  6. Step 6: Final answer
    x = 35.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.