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Finding the Fourth Proportional to 47.46, 71.08 and 46.09

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Solution

The fourth proportional to 47.46, 71.08 and 46.09 is: 69.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 71.08 = 46.09 : x
  2. Step 2: Convert to fraction form
    47.46/71.08 = 46.09/x
  3. Step 3: Cross multiply
    47.46x = 71.08 × 46.09
  4. Step 4: Simplify right side
    47.46x = 3,275.85
  5. Step 5: Solve for x
    x = 3,275.85/47.46
  6. Step 6: Final answer
    x = 69.03

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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.