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Finding the Fourth Proportional to 25.89, 38.52 and 25.26

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Solution

The fourth proportional to 25.89, 38.52 and 25.26 is: 37.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 38.52 = 25.26 : x
  2. Step 2: Convert to fraction form
    25.89/38.52 = 25.26/x
  3. Step 3: Cross multiply
    25.89x = 38.52 × 25.26
  4. Step 4: Simplify right side
    25.89x = 973.02
  5. Step 5: Solve for x
    x = 973.02/25.89
  6. Step 6: Final answer
    x = 37.58

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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.