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Finding the Fourth Proportional to 25.60, 38.42 and 16.59

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Solution

The fourth proportional to 25.60, 38.42 and 16.59 is: 24.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.60 : 38.42 = 16.59 : x
  2. Step 2: Convert to fraction form
    25.60/38.42 = 16.59/x
  3. Step 3: Cross multiply
    25.60x = 38.42 × 16.59
  4. Step 4: Simplify right side
    25.60x = 637.21
  5. Step 5: Solve for x
    x = 637.21/25.60
  6. Step 6: Final answer
    x = 24.90

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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.