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Finding the Fourth Proportional to 32.92, 45.22 and 29.96

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Solution

The fourth proportional to 32.92, 45.22 and 29.96 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.92 : 45.22 = 29.96 : x
  2. Step 2: Convert to fraction form
    32.92/45.22 = 29.96/x
  3. Step 3: Cross multiply
    32.92x = 45.22 × 29.96
  4. Step 4: Simplify right side
    32.92x = 1,354.79
  5. Step 5: Solve for x
    x = 1,354.79/32.92
  6. Step 6: Final answer
    x = 41.15

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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.