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Finding the Fourth Proportional to 46.78, 69.92 and 45.70

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Solution

The fourth proportional to 46.78, 69.92 and 45.70 is: 68.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 69.92 = 45.70 : x
  2. Step 2: Convert to fraction form
    46.78/69.92 = 45.70/x
  3. Step 3: Cross multiply
    46.78x = 69.92 × 45.70
  4. Step 4: Simplify right side
    46.78x = 3,195.34
  5. Step 5: Solve for x
    x = 3,195.34/46.78
  6. Step 6: Final answer
    x = 68.31

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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.