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Finding the Fourth Proportional to 46.10, 69.16 and 29.84

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Solution

The fourth proportional to 46.10, 69.16 and 29.84 is: 44.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 69.16 = 29.84 : x
  2. Step 2: Convert to fraction form
    46.10/69.16 = 29.84/x
  3. Step 3: Cross multiply
    46.10x = 69.16 × 29.84
  4. Step 4: Simplify right side
    46.10x = 2,063.73
  5. Step 5: Solve for x
    x = 2,063.73/46.10
  6. Step 6: Final answer
    x = 44.77

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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.