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Finding the Fourth Proportional to 25.42, 38.15 and 17.84

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Solution

The fourth proportional to 25.42, 38.15 and 17.84 is: 26.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 38.15 = 17.84 : x
  2. Step 2: Convert to fraction form
    25.42/38.15 = 17.84/x
  3. Step 3: Cross multiply
    25.42x = 38.15 × 17.84
  4. Step 4: Simplify right side
    25.42x = 680.60
  5. Step 5: Solve for x
    x = 680.60/25.42
  6. Step 6: Final answer
    x = 26.77

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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.