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Finding the Fourth Proportional to 34.66, 52.00 and 20.23

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Solution

The fourth proportional to 34.66, 52.00 and 20.23 is: 30.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.66 : 52.00 = 20.23 : x
  2. Step 2: Convert to fraction form
    34.66/52.00 = 20.23/x
  3. Step 3: Cross multiply
    34.66x = 52.00 × 20.23
  4. Step 4: Simplify right side
    34.66x = 1,052.01
  5. Step 5: Solve for x
    x = 1,052.01/34.66
  6. Step 6: Final answer
    x = 30.35

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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.