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Finding the Fourth Proportional to 32.57, 48.82 and 12.27

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Solution

The fourth proportional to 32.57, 48.82 and 12.27 is: 18.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.57 : 48.82 = 12.27 : x
  2. Step 2: Convert to fraction form
    32.57/48.82 = 12.27/x
  3. Step 3: Cross multiply
    32.57x = 48.82 × 12.27
  4. Step 4: Simplify right side
    32.57x = 598.78
  5. Step 5: Solve for x
    x = 598.78/32.57
  6. Step 6: Final answer
    x = 18.38

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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.