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Finding the Fourth Proportional to 34.20, 46.92 and 33.72

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Solution

The fourth proportional to 34.20, 46.92 and 33.72 is: 46.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.20 : 46.92 = 33.72 : x
  2. Step 2: Convert to fraction form
    34.20/46.92 = 33.72/x
  3. Step 3: Cross multiply
    34.20x = 46.92 × 33.72
  4. Step 4: Simplify right side
    34.20x = 1,582.14
  5. Step 5: Solve for x
    x = 1,582.14/34.20
  6. Step 6: Final answer
    x = 46.26

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