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Finding the Fourth Proportional to 32.85, 49.25 and 17.42

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Solution

The fourth proportional to 32.85, 49.25 and 17.42 is: 26.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.85 : 49.25 = 17.42 : x
  2. Step 2: Convert to fraction form
    32.85/49.25 = 17.42/x
  3. Step 3: Cross multiply
    32.85x = 49.25 × 17.42
  4. Step 4: Simplify right side
    32.85x = 857.73
  5. Step 5: Solve for x
    x = 857.73/32.85
  6. Step 6: Final answer
    x = 26.11

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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.