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Finding the Fourth Proportional to 34.83, 52.11 and 32.67

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Solution

The fourth proportional to 34.83, 52.11 and 32.67 is: 48.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.83 : 52.11 = 32.67 : x
  2. Step 2: Convert to fraction form
    34.83/52.11 = 32.67/x
  3. Step 3: Cross multiply
    34.83x = 52.11 × 32.67
  4. Step 4: Simplify right side
    34.83x = 1,702.43
  5. Step 5: Solve for x
    x = 1,702.43/34.83
  6. Step 6: Final answer
    x = 48.88

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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.