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Finding the Fourth Proportional to 47.39, 70.57 and 46.63

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Solution

The fourth proportional to 47.39, 70.57 and 46.63 is: 69.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.39 : 70.57 = 46.63 : x
  2. Step 2: Convert to fraction form
    47.39/70.57 = 46.63/x
  3. Step 3: Cross multiply
    47.39x = 70.57 × 46.63
  4. Step 4: Simplify right side
    47.39x = 3,290.43
  5. Step 5: Solve for x
    x = 3,290.43/47.39
  6. Step 6: Final answer
    x = 69.44

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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.