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Finding the Fourth Proportional to 46, 69 and 40.96

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Solution

The fourth proportional to 46, 69 and 40.96 is: 61.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 69 = 40.96 : x
  2. Step 2: Convert to fraction form
    46/69 = 40.96/x
  3. Step 3: Cross multiply
    46x = 69 × 40.96
  4. Step 4: Simplify right side
    46x = 2,826.24
  5. Step 5: Solve for x
    x = 2,826.24/46
  6. Step 6: Final answer
    x = 61.44

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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.