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Finding the Fourth Proportional to 25.64, 38.36 and 17.07

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Solution

The fourth proportional to 25.64, 38.36 and 17.07 is: 25.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 38.36 = 17.07 : x
  2. Step 2: Convert to fraction form
    25.64/38.36 = 17.07/x
  3. Step 3: Cross multiply
    25.64x = 38.36 × 17.07
  4. Step 4: Simplify right side
    25.64x = 654.61
  5. Step 5: Solve for x
    x = 654.61/25.64
  6. Step 6: Final answer
    x = 25.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.