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Finding the Fourth Proportional to 32.43, 48.64 and 27.82

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Solution

The fourth proportional to 32.43, 48.64 and 27.82 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.43 : 48.64 = 27.82 : x
  2. Step 2: Convert to fraction form
    32.43/48.64 = 27.82/x
  3. Step 3: Cross multiply
    32.43x = 48.64 × 27.82
  4. Step 4: Simplify right side
    32.43x = 1,352.97
  5. Step 5: Solve for x
    x = 1,352.97/32.43
  6. Step 6: Final answer
    x = 41.72

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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.