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Finding the Fourth Proportional to 34.02, 46.89 and 23.09

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Solution

The fourth proportional to 34.02, 46.89 and 23.09 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.02 : 46.89 = 23.09 : x
  2. Step 2: Convert to fraction form
    34.02/46.89 = 23.09/x
  3. Step 3: Cross multiply
    34.02x = 46.89 × 23.09
  4. Step 4: Simplify right side
    34.02x = 1,082.46
  5. Step 5: Solve for x
    x = 1,082.46/34.02
  6. Step 6: Final answer
    x = 31.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.