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Finding the Fourth Proportional to 32.45, 44.49 and 28.80

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Solution

The fourth proportional to 32.45, 44.49 and 28.80 is: 39.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.45 : 44.49 = 28.80 : x
  2. Step 2: Convert to fraction form
    32.45/44.49 = 28.80/x
  3. Step 3: Cross multiply
    32.45x = 44.49 × 28.80
  4. Step 4: Simplify right side
    32.45x = 1,281.31
  5. Step 5: Solve for x
    x = 1,281.31/32.45
  6. Step 6: Final answer
    x = 39.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.