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Finding the Fourth Proportional to 25, 37.66 and 19.04

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Solution

The fourth proportional to 25, 37.66 and 19.04 is: 28.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 37.66 = 19.04 : x
  2. Step 2: Convert to fraction form
    25/37.66 = 19.04/x
  3. Step 3: Cross multiply
    25x = 37.66 × 19.04
  4. Step 4: Simplify right side
    25x = 717.05
  5. Step 5: Solve for x
    x = 717.05/25
  6. Step 6: Final answer
    x = 28.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.