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Finding the Fourth Proportional to 32.40, 48.52 and 27.80

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Solution

The fourth proportional to 32.40, 48.52 and 27.80 is: 41.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.40 : 48.52 = 27.80 : x
  2. Step 2: Convert to fraction form
    32.40/48.52 = 27.80/x
  3. Step 3: Cross multiply
    32.40x = 48.52 × 27.80
  4. Step 4: Simplify right side
    32.40x = 1,348.86
  5. Step 5: Solve for x
    x = 1,348.86/32.40
  6. Step 6: Final answer
    x = 41.63

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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.