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Finding the Fourth Proportional to 46.97, 69.47 and 46.97

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Solution

The fourth proportional to 46.97, 69.47 and 46.97 is: 69.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.97 : 69.47 = 46.97 : x
  2. Step 2: Convert to fraction form
    46.97/69.47 = 46.97/x
  3. Step 3: Cross multiply
    46.97x = 69.47 × 46.97
  4. Step 4: Simplify right side
    46.97x = 3,263.01
  5. Step 5: Solve for x
    x = 3,263.01/46.97
  6. Step 6: Final answer
    x = 69.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.