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Finding the Fourth Proportional to 47.71, 71.15 and 46.63

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Solution

The fourth proportional to 47.71, 71.15 and 46.63 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 71.15 = 46.63 : x
  2. Step 2: Convert to fraction form
    47.71/71.15 = 46.63/x
  3. Step 3: Cross multiply
    47.71x = 71.15 × 46.63
  4. Step 4: Simplify right side
    47.71x = 3,317.72
  5. Step 5: Solve for x
    x = 3,317.72/47.71
  6. Step 6: Final answer
    x = 69.54

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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.