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Finding the Fourth Proportional to 34.29, 46.71 and 33.62

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Solution

The fourth proportional to 34.29, 46.71 and 33.62 is: 45.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.29 : 46.71 = 33.62 : x
  2. Step 2: Convert to fraction form
    34.29/46.71 = 33.62/x
  3. Step 3: Cross multiply
    34.29x = 46.71 × 33.62
  4. Step 4: Simplify right side
    34.29x = 1,570.16
  5. Step 5: Solve for x
    x = 1,570.16/34.29
  6. Step 6: Final answer
    x = 45.79

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.