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Finding the Fourth Proportional to 34.92, 52.32 and 27.72

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Solution

The fourth proportional to 34.92, 52.32 and 27.72 is: 41.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.92 : 52.32 = 27.72 : x
  2. Step 2: Convert to fraction form
    34.92/52.32 = 27.72/x
  3. Step 3: Cross multiply
    34.92x = 52.32 × 27.72
  4. Step 4: Simplify right side
    34.92x = 1,450.31
  5. Step 5: Solve for x
    x = 1,450.31/34.92
  6. Step 6: Final answer
    x = 41.53

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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.