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Finding the Fourth Proportional to 47.71, 71.06 and 46.71

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Solution

The fourth proportional to 47.71, 71.06 and 46.71 is: 69.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 71.06 = 46.71 : x
  2. Step 2: Convert to fraction form
    47.71/71.06 = 46.71/x
  3. Step 3: Cross multiply
    47.71x = 71.06 × 46.71
  4. Step 4: Simplify right side
    47.71x = 3,318.62
  5. Step 5: Solve for x
    x = 3,318.62/47.71
  6. Step 6: Final answer
    x = 69.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.