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Finding the Fourth Proportional to 46.06, 69.08 and 23.24

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Solution

The fourth proportional to 46.06, 69.08 and 23.24 is: 34.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.06 : 69.08 = 23.24 : x
  2. Step 2: Convert to fraction form
    46.06/69.08 = 23.24/x
  3. Step 3: Cross multiply
    46.06x = 69.08 × 23.24
  4. Step 4: Simplify right side
    46.06x = 1,605.42
  5. Step 5: Solve for x
    x = 1,605.42/46.06
  6. Step 6: Final answer
    x = 34.85

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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.